The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research (Q2973036)

scientific article

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English	The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research	scientific article

Statements

instance of

scholarly article

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title

The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research (English)

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published in

Transactions of the Moscow Mathematical Society

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publication date

31 March 2017

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zbMATH Keywords

geometry

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metric geometry

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isometric transformation

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surface

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author

Idzhad Kh. Sabitov

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/mosc/257

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Isometric surfaces with a common mean curvature and the problem of Bonnet pairs

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DMITRII FEDOROVICH EGOROV (on the centenary of his birth)

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Q3582472

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Q3346635

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Q3743738

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Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory

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THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD

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Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature

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Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type

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Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space

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Algebraic-geometric $n$-orthogonal curvilinear coordinate systems and solutions of the associativity equations

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Compatible and almost compatible pseudo-Riemannian metrics

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Tri-Hamiltonian structures of Egorov systems of hydrodynamic type

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Egorov hydrodynamic chains, the Chazy equation, and the group $SL(2,\mathbb C)$.

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Description of the $n$-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations

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Q5820523

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SERGEI PAVLOVICH FINIKOV (obituary)

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CLOSED GEODESICS, ASYMPTOTIC VOLUME, AND CHARACTERISTICS OF GROUP GROWTH

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ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS

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THE MULTIDIMENSIONAL PLATEAU PROBLEM IN RIEMANNIAN MANIFOLDS

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One-dimensional Gromov minimal filling problem

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Realization of Frobenius manifolds as submanifolds in pseudo-Euclidean spaces

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Q4130621

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Embeddings and immersions in Riemannian geometry

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The regularity of convex regions with a metric that is regular in the Hölder classes

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Q3970802

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The rigidity of ''corrugated'' surfaces of revolution

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Q4777992

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Q4278188

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Surface deformation. I

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Q4301418

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Q3284327

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ON INFINITESIMAL BENDINGS OF TROUGHS OF REVOLUTION. II

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A study of the rigidity and inflexibility of analytic surfaces of revolution with flattening at the pole

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Infinitesimal and global rigidity and inflexibility of surfaces of revolution with flattening at the poles

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Second-order infinitesimal bendings of surfaces of revolution with flattening at the poles

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Q3128023

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Possible generalizations of the Minagawa-Rado lemma on the rigidity of a surface of revolution with a fixed parallel

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Bending of surfaces. II

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Bending of surfaces. III

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Über die reguläre Realisierung im Großen von zweidimensionalen Metriken negativer Krümmung

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Q3952745

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ON THE REGULAR ISOMETRIC IMMERSION IN $ E^3$ OF UNBOUNDED DOMAINS OF NEGATIVE CURVATURE

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ISOMETRIC IMMERSIONS OF TWO-DIMENSIONAL RIEMANNIAN METRICS IN EUCLIDEAN SPACE

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Surfaces of negative curvature

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Isometric immersions of Riemannian spaces in Euclidean spaces

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Small parameter in the theory of isometric imbeddings for two-dimensional Riemannian manifolds into Euclidean spaces

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The geometry of the sine-Gordon equation

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Q5819908

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Q5832822

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Isometric immersions and embeddings of locally Euclidean metrics in $ \mathbb R^2$

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Isometric immersion of locally euclidean metrics in $R^ 3$

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Isometric embeddings of locally Euclidean metrics in $\mathbb R^3$ as conical surfaces

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Isometric embeddings in $\mathbb{R}^3$ of an annulus with a locally Euclidean metric which are multivalued of cylindrical type

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Q5391626

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On the extrinsic curvature and the extrinsic structure of normal developable $C^1$ surfaces

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Q2995631

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Piecewise smooth developable surfaces

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Bending of a developable surface that preserves its edge and generators

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Isometric embeddings of the surfaces of the Platonic solids

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Bending of a piecewise developable surface

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Nonbendability of a division of a sphere into squares

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Rigidity of a quadrillage of the torus

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Rigidity of a quadrillage of the pretzel

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On a class of inflexible polyhedra

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An example of a flexible polyhedron with nonconstant volume in the spherical space

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On flexible polyhedral surfaces

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Truncations of simple polytopes and applications

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Q4396557

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A generalized Heron-Tartaglia formula and some of its consequences

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Sabitov polynomials for volumes of polyhedra in four dimensions

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Generalization of Sabitov's theorem to polyhedra of arbitrary dimensions

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The analytic continuation of volume and the Bellows conjecture in Lobachevsky spaces

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Embedded flexible spherical cross-polytopes with nonconstant volumes

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Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics

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Algebraic methods for solution of polyhedra

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Identifiers

zbMATH Open document ID

1360.01027

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DOI

10.1090/mosc/257

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2973036