Embedding problems: Geometric and topological aspects

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Embeddings in differential topology (57R40) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

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Around Efimov's differential test for homeomorphism

Cites Work

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Embeddings and Immersions of Manifolds in Euclidean Space
Über von höherer Ordnung reguläre Immersionen
The total curvature of knotted spheres
The Immersion Conjecture for RP 8l+7 is False
Immersions of Complex Projective Spaces and the Generalized Vector Field Problem
Some non-embedding theorems for the Grassmann manifolds G₂,_n and G₃,_n
Imbeddings, Immersions, and Characteristic Classes of Differentiable Manifolds
Cylindricity of Isometric Immersions between Hyperbolic Spaces
Embeddings of (𝑛-1)-spheres in Euclidean 𝑛-space
Codimension Two Submanifolds of Positive Curvature
Tight and Taut Immersions into Hyberbolic Space
COMPLETE $ l$-DIMENSIONAL SURFACES OF NONPOSITIVE EXTRINSIC CURVATURE IN A RIEMANNIAN SPACE
Imbeddings, immersions and integrability of characteristic classes,
A higher dimension generalization of the Sine-Gordon equation and its Bäcklund transformation
Minimal total absolute curvature for orientable surfaces with boundary
The Sphericity of Higher Dimensional Knots
On Obstruction Theory in Orientable Fiber Bundles
SECTIONAL CURVATURES OF GRASSMANN MANIFOLDS
SURFACES WITH A SLOWLY CHANGING NEGATIVE CURVATURE
Isotropic and Kähler Immersions
Some Minimal Imbeddings of Homogeneous Spaces
Classification of knots in codimension two
Isometric Immersions of Constant Mean Curvature and Triviality of the Normal Connection
Euclidean Models of Projective Spaces
Characteristic Classes of $n$-Manifolds Immersing in $\mathsf{R}^{n+k}$.
On the Haefliger knot groups
Immersions and Embeddings of Projective Spaces
On the Embeddability of the Real Projective Spaces
Imbedding and Immersion of Real Projective Spaces
Isometric Immersions which Preserve Curvature Operators
Sur la courbure totale d'une courbe gauche faisant un nœud
On total curvatures of closed space curves
The imbedding of bounding manifolds in Euclidean space
The classification of immersions of spheres in Euclidean spaces
Plongements différentiables de variétés dans variétés
Knotted (4k-1)-spheres in 6k-space
Ring spectra which are Thom complexes
Sur le plongement de certaines variétés riemanniennes à deux dimensions dans l'espace euclidien à quatre dimensions
Differential geometry of submanifolds
Conformal correspondence of metrics and smoothness of isometric immersions
Geometric investigations connected with $z_{xy}=\sin z$
Immersions of non-zero relative nullity in manifolds of constant positive curvature
On codimension one isometric immersions between indefinite space forms
Symmetric submanifolds of Euclidean space
A higher dimension generalization of the Sine-Gordon equation and its soliton theory
Isometric embedding of two-dimensional manifolds of negative curvature by the Darboux method
Isometric immersions of Riemannian spaces in Euclidean spaces
Bäcklund's theorem for $n$-dimensional submanifolds of $R^{2n-1}$
Embeddings of k-orientable manifolds
Nonimmersibility of the Lobachevskii half-plane
Height functions on surfaces with three critical points
Über die Existenz isometrischer Immersionen der Kodimension 2 von sphärischen Raumformen in Standard-Räume
Krümmungsflächen von isometrischen Immersionen in Räume konstanter Krümmung
Conformally flat submanifolds of Euclidean space
Examples of nonvanishing Chern-Simons invariants
Isometrische Immersionen der Kodimension 2 von Raumformen
The enumeration of liftings in fibrations and the embedding problem. I
Isometric immersions of Riemannian products in Euclidean space
Embedding spaces
Taut immersions of non-compact surfaces into a Euclidean 3-space
Uniqueness of the normal connections and congruence of isometric immersions
On curvature integrals and knots
The enumeration of liftings in fibrations and the embedding problem. II
Examples of unknotted curves which bound only surfaces of high genus within their convex hulls
On the interdependency of the Gauss-Codazzi-Ricci equations of local isometric embedding
Isometric immersions of Lorentzian space forms
Submanifolds of constant positive curvature. I
Local isometric imbedding of Riemannian $n$-manifolds into Euclidean $(n+1)$-space
Enumerating immersions and embeddings of projective spaces
Tight topological embeddings of the real projective plane in $E^s$
Surfaces of negative curvature
An inequality involving the length, curvature, and torsions of a curve in Euclidean n-space
Normal characteristic forms: Conformal invariance and duality
Isometric embedding of a smooth compact manifold with a metric of low regularity
Representing codimension-one homology classes by embedded submanifolds
Non-immersion and non-embedding theorems for complex Grassmann manifolds
Singularity obstructions to immersions
On characteristic hypersurfaces of submanifolds in Euclidean space
Immersions of bounded mean curvature
Completeness of curvature surfaces of an isometric immersion
Imbedding open manifolds in compact ones
Riemannian curvature of multidimensional saddle surfaces
Total curvature and total absolute curvature of immersed submanifolds of spheres
Isotropic immersions
On the total absolute curvature of closed curves in manifolds of negative curvature
Tight polyhedral Klein bottles, projective planes, and Möbius bands
Note on the enumeration of embeddings of real projective spaces
Umbilics of constant curvature immersions
Unknotting spheres in codimension two
A classification of differentiable knots
Imbeddings of homogeneous spaces with minimum total curvature
Differentiable embeddings of $S^ n$ in $S^{n+q}$ for $q > 2$
Isometric immersions of Riemannian manifolds
Non-immersion theorems for lens spaces
An embedding theorem for real projective spaces
Minimum imbeddings of compact symmetric spaces of rank one
A metric of approximately minimal surfaces
Isometric imbeddings of compact symmetric spaces
Two classes of $k$-dimensional surfaces in $n$-dimensional Euclidean space
Minimal total absolute curvature for immersions
Totale Absolutkrümmung in Differentialgeometrie und -topologie
Total central curvature of curves
The spherical two-piece property and tight surfaces in spheres
Riemannsche Mannigfaltigkeiten konstanter positiver Krümmung in euklidischen Räumen der Kodimension 2
Implicit function theorems and isometric embeddings
Minimal immersions of spheres into spheres
Isometric immersions of space forms in space forms
On the existence and classification of differentiable embeddings
On imbedding differentiable manifolds in Euclidean space
The self-intersections of a smooth $n$-manifold in $2n$-space
The singularities of a smooth $n$-manifold in $(2n-1)$-space
On Realising Mod-2 Homology Classes of Manifolds by Submanifolds
Codimension One Isometric Immersions Between Lorentz Spaces
On the Stiefel-Whitney Classes of a Manifold
Immersions of Manifolds
The Smale invariants of an immersed projective space
Tight Embedding and Projective Transformation
IMMERSIONS AND EMBEDDINGS OF SMOOTH MANIFOLDS
Isometric Immersions of Complete Riemannian Manifolds into Euclidean Space
Multiple points of codimension one immersions of oriented manifolds
Chern-Simons Invariants of Reductive Homogeneous Spaces
Characteristic Classes. (AM-76)
EULER CLASSES OF STABLY EQUIVALENT VECTOR BUNDLES
Inverting a Cylinder Through Isometric Immersions and Isometric Embeddings
m‐Funktionen und ihre Anwendung auf die totale Absolutkrümmung
Some invariants of generic immersions and their geometric applications
Isotropic Immersions and Veronese Manifolds
Embeddings of surfaces in euclidean three-space
Homotopies of submanifolds with non-degenerate second fundamental form

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