Embedding problems: Geometric and topological aspects (Q789758)

scientific article; zbMATH DE number 3846419

Language	Label	Description	Also known as
English	Embedding problems: Geometric and topological aspects	scientific article; zbMATH DE number 3846419

Statements

instance of

scholarly article

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title

Embedding problems: Geometric and topological aspects (English)

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author

Yu. A. Aminov

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published in

Journal of Soviet Mathematics

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publication date

1984

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review text

Translation from Itogi Nauki Tekh., Ser. Probl. Geom. 13, 119-156 (Russian) (1982; Zbl 0499.53048).

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zbMATH Keywords

tight

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immersion

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embedding

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minimal total absolute curvature

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A metric of approximately minimal surfaces

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COMPLETE $ l$-DIMENSIONAL SURFACES OF NONPOSITIVE EXTRINSIC CURVATURE IN A RIEMANNIAN SPACE

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Q3914028

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Riemannian curvature of multidimensional saddle surfaces

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Q4150283

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Imbedding open manifolds in compact ones

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Nonimmersibility of the Lobachevskii half-plane

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SURFACES WITH A SLOWLY CHANGING NEGATIVE CURVATURE

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Differential geometry of submanifolds

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EULER CLASSES OF STABLY EQUIVALENT VECTOR BUNDLES

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Q3883135

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Characteristic Classes. (AM-76)

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Q4087941

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Q4201204

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Geometric investigations connected with $z_{xy}=\sin z$

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Surfaces of negative curvature

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Isometric immersions of Riemannian spaces in Euclidean spaces

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Q4192646

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Q5341571

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IMMERSIONS AND EMBEDDINGS OF SMOOTH MANIFOLDS

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Conformal correspondence of metrics and smoothness of isometric immersions

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Two classes of $k$-dimensional surfaces in $n$-dimensional Euclidean space

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Isometric embedding of two-dimensional manifolds of negative curvature by the Darboux method

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Q3344782

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Q4186955

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Isometric immersions of Riemannian products in Euclidean space

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Cylindricity of Isometric Immersions between Hyperbolic Spaces

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Examples of unknotted curves which bound only surfaces of high genus within their convex hulls

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Isometric Immersions of Complete Riemannian Manifolds into Euclidean Space

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The spherical two-piece property and tight surfaces in spheres

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Total central curvature of curves

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Tight polyhedral Klein bottles, projective planes, and Möbius bands

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Q4160105

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Height functions on surfaces with three critical points

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Embeddings and Immersions of Manifolds in Euclidean Space

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Characteristic Classes of $n$-Manifolds Immersing in $\mathsf{R}^{n+k}$.

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Q4131328

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The Smale invariants of an immersed projective space

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Q4172676

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Embeddings of surfaces in euclidean three-space

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Taut immersions of non-compact surfaces into a Euclidean 3-space

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Tight and Taut Immersions into Hyberbolic Space

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Tight Embedding and Projective Transformation

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Embeddings of (𝑛-1)-spheres in Euclidean 𝑛-space

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The Immersion Conjecture for RP 8l+7 is False

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Immersions of Complex Projective Spaces and the Generalized Vector Field Problem

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Q4101198

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Q5656124

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Chern-Simons Invariants of Reductive Homogeneous Spaces

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The Sphericity of Higher Dimensional Knots

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Multiple points of codimension one immersions of oriented manifolds

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Isometric Immersions of Constant Mean Curvature and Triviality of the Normal Connection

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Sur la courbure totale d'une courbe gauche faisant un nœud

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Immersions and Embeddings of Projective Spaces

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Embeddings of k-orientable manifolds

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Symmetric submanifolds of Euclidean space

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Totale Absolutkrümmung in Differentialgeometrie und -topologie

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m‐Funktionen und ihre Anwendung auf die totale Absolutkrümmung

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On the interdependency of the Gauss-Codazzi-Ricci equations of local isometric embedding

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Singularity obstructions to immersions

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Codimension One Isometric Immersions Between Lorentz Spaces

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Isometric immersions of Lorentzian space forms

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On codimension one isometric immersions between indefinite space forms

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Differentiable embeddings of $S^ n$ in $S^{n+q}$ for $q > 2$

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Plongements différentiables de variétés dans variétés

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Knotted (4k-1)-spheres in 6k-space

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On the existence and classification of differentiable embeddings

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Inverting a Cylinder Through Isometric Immersions and Isometric Embeddings

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An embedding theorem for real projective spaces

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Q4188396

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Immersions of bounded mean curvature

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Isometrische Immersionen der Kodimension 2 von Raumformen

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Über die Existenz isometrischer Immersionen der Kodimension 2 von sphärischen Raumformen in Standard-Räume

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Riemannsche Mannigfaltigkeiten konstanter positiver Krümmung in euklidischen Räumen der Kodimension 2

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The imbedding of bounding manifolds in Euclidean space

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On imbedding differentiable manifolds in Euclidean space

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Immersions of Manifolds

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Isotropic immersions

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Isotropic Immersions and Veronese Manifolds

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Implicit function theorems and isometric embeddings

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Euclidean Models of Projective Spaces

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Isometric embedding of a smooth compact manifold with a metric of low regularity

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Non-immersion theorems for lens spaces

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Imbeddings of homogeneous spaces with minimum total curvature

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Isometric imbeddings of compact symmetric spaces

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Tight topological embeddings of the real projective plane in $E^s$

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Minimal total absolute curvature for immersions

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On curvature integrals and knots

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Enumerating immersions and embeddings of projective spaces

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Embedding spaces

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Classification of knots in codimension two

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Imbedding and Immersion of Real Projective Spaces

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Unknotting spheres in codimension two

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A classification of differentiable knots

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Ring spectra which are Thom complexes

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On the Embeddability of the Real Projective Spaces

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On Obstruction Theory in Orientable Fiber Bundles

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Q4772431

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On the Stiefel-Whitney Classes of a Manifold

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Representing codimension-one homology classes by embedded submanifolds

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On the Haefliger knot groups

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Examples of nonvanishing Chern-Simons invariants

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On total curvatures of closed space curves

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Isometric immersions of space forms in space forms

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Conformally flat submanifolds of Euclidean space

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Submanifolds of constant positive curvature. I

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Codimension Two Submanifolds of Positive Curvature

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Q4179500

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Normal characteristic forms: Conformal invariance and duality

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Uniqueness of the normal connections and congruence of isometric immersions

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Isometric immersions of Riemannian manifolds

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Umbilics of constant curvature immersions

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Isometric Immersions which Preserve Curvature Operators

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Isotropic and Kähler Immersions

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Some non-embedding theorems for the Grassmann manifolds G2,n and G3,n

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Imbeddings, Immersions, and Characteristic Classes of Differentiable Manifolds

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Imbeddings, immersions and integrability of characteristic classes,

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On Realising Mod-2 Homology Classes of Manifolds by Submanifolds

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Some invariants of generic immersions and their geometric applications

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Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung

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Completeness of curvature surfaces of an isometric immersion

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Immersions of non-zero relative nullity in manifolds of constant positive curvature

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Q5785960

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Q4183395

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The classification of immersions of spheres in Euclidean spaces

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Non-immersion and non-embedding theorems for complex Grassmann manifolds

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The total curvature of knotted spheres

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Q5566256

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Q4118460

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Minimum imbeddings of compact symmetric spaces of rank one

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Q3854295

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On characteristic hypersurfaces of submanifolds in Euclidean space

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A higher dimension generalization of the Sine-Gordon equation and its Bäcklund transformation

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Bäcklund's theorem for $n$-dimensional submanifolds of $R^{2n-1}$

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A higher dimension generalization of the Sine-Gordon equation and its soliton theory

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Q5586064

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On the total absolute curvature of closed curves in manifolds of negative curvature

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Local isometric imbedding of Riemannian $n$-manifolds into Euclidean $(n+1)$-space

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Sur le plongement de certaines variétés riemanniennes à deux dimensions dans l'espace euclidien à quatre dimensions

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Minimal immersions of spheres into spheres

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Total curvature and total absolute curvature of immersed submanifolds of spheres

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An inequality involving the length, curvature, and torsions of a curve in Euclidean n-space

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Minimal total absolute curvature for orientable surfaces with boundary

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The singularities of a smooth $n$-manifold in $(2n-1)$-space

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The self-intersections of a smooth $n$-manifold in $2n$-space

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Some Minimal Imbeddings of Homogeneous Spaces

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Homotopies of submanifolds with non-degenerate second fundamental form

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Über von höherer Ordnung reguläre Immersionen

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SECTIONAL CURVATURES OF GRASSMANN MANIFOLDS

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Note on the enumeration of embeddings of real projective spaces

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The enumeration of liftings in fibrations and the embedding problem. II

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The enumeration of liftings in fibrations and the embedding problem. I

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Identifiers

zbMATH Open document ID

0533.53051

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DOI

10.1007/BF01084675

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:789758