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Locally Euclidean Metrics and their Isometric Realizations

Journal of mathematical sciences (New York, N.Y.), 2023-11, Vol.276 (6), p.793-801

Sabitov, I. Kh

2023

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Infinitesimal Sliding Bendings of Compact Surfaces and Euler’s Conjecture

Siberian mathematical journal, 2023-09, Vol.64 (5), p.1213-1228

Sabitov, I. Kh

2023

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Isometric Realizations of Lobachevskii Plane in

Lobachevskii journal of mathematics, 2023, Vol.44 (10), p.4558-4564

Sabitov, I. Kh

2023

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Bendable Surfaces without Visible Deformations of Their Shape

Mathematical Notes, 2021-07, Vol.110 (1-2), p.126-134

Sabitov, I. Kh

2021

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Elimination of parasitic solutions in the theory of flexible polyhedra

Beiträge zur Algebra und Geometrie, 2021-09, Vol.62 (3), p.687-703

2021

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

Transactions of the Moscow Mathematical Society, 2016, Vol.77, p.149-175

Sabitov, I. Kh

2016

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

Sbornik. Mathematics, 2014-01, Vol.205 (12), p.1787-1814

Sabitov, I. Kh

2014

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Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula

Modelirovanie i analiz informacionnyh sistem, 2015-03, Vol.20 (6), p.149-161

Sabitov, I. Kh

2015

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

Sbornik. Mathematics, 2013-01, Vol.204 (10), p.1516-1547

Sabitov, I. Kh

2013

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Isometric Realizations of Lobachevskii Plane in $$\boldsymbol{R}^{\boldsymbol{n}}$$, $$\boldsymbol{n\geq 4}

Lobachevskii journal of mathematics, 2023-10, Vol.44 (10), p.4558-4564

Sabitov, I. Kh

2023

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Volume Polynomials for Some Polyhedra in Spaces of Constant Curvature

Modelirovanie i analiz informacionnyh sistem, 2015-03, Vol.19 (6), p.161-169

2015

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On metrics admitting a discontinuum set of non-congruent immersions in $R^3

Siberian electronic mathematical reports, 2021-10, Vol.18 (2), p.1023-1026

Sabitov, I. Kh

2021

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New proofs of infinitesimal rigidity of convex polyhedra and convex surfaces of revolution

Siberian electronic mathematical reports, 2021-06, Vol.18 (2), p.740-743

Sabitov, I. Kh

2021

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Approximation of plane curves by circular arcs

Computational mathematics and mathematical physics, 2010-08, Vol.50 (8), p.1279-1288

2010

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The Volume as a Metric Invariant of Polyhedra

Discrete & computational geometry, 1998-12, Vol.20 (4), p.405-425

Sabitov, I. Kh

1998

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Nikolai Petrovich Dolbilin (on his 70th birthday)

Russian mathematical surveys, 2014-02, Vol.69 (1), p.181-182

2014

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Volume polynomials for polyhedra combinatorially isometric to $n$-prisms in the cases $n=5,6,7

Siberian electronic mathematical reports, 2019-03, Vol.16, p.439-448

2019

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On a class of inflexible polyhedra

Siberian mathematical journal, 2014-09, Vol.55 (5), p.961-967

Sabitov, I. Kh

2014

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

Izvestiya. Mathematics, 2002-04, Vol.66 (2), p.377-391

Sabitov, I Kh

2002

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Algebraic methods for solution of polyhedra

Russian mathematical surveys, 2011-06, Vol.66 (3), p.445-505

Sabitov, Idzhad Kh

2011

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Isometric embeddings in R3 of an annulus with a locally euclidean metric which are multivalued of cylindrical type

Mathematical Notes, 2015-09, Vol.98 (3-4), p.441-447

2015

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Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula

Modelirovanie i analiz informacionnyh sistem, 2013-01, Vol.20 (6), p.149-161

I. Kh. Sabitov

2013

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A generalized Heron-Tartaglia formula and some of its consequences

Sbornik. Mathematics, 1998-10, Vol.189 (10), p.1533-1561

Sabitov, I Kh

1998

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Solutions of the equation $ \Delta u=f(x,y)e^{cu}$ in some special cases

Sbornik. Mathematics, 2001-06, Vol.192 (6), p.879-894

Sabitov, I Kh

2001

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

Sbornik. Mathematics, 2012-01, Vol.203 (1), p.111-152

Sabitov, Idzhad Kh

2012

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Locally Euclidean Metrics and their Isometric Realizations

Infinitesimal Sliding Bendings of Compact Surfaces and Euler’s Conjecture

Isometric Realizations of Lobachevskii Plane in

Bendable Surfaces without Visible Deformations of Their Shape

Elimination of parasitic solutions in the theory of flexible polyhedra

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

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

Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula

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

Isometric Realizations of Lobachevskii Plane in $$\boldsymbol{R}^{\boldsymbol{n}}$$, $$\boldsymbol{n\geq 4}

Volume Polynomials for Some Polyhedra in Spaces of Constant Curvature

On metrics admitting a discontinuum set of non-congruent immersions in $R^3

New proofs of infinitesimal rigidity of convex polyhedra and convex surfaces of revolution

Approximation of plane curves by circular arcs

The Volume as a Metric Invariant of Polyhedra

Nikolai Petrovich Dolbilin (on his 70th birthday)

Volume polynomials for polyhedra combinatorially isometric to $n$-prisms in the cases $n=5,6,7

On a class of inflexible polyhedra

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

Algebraic methods for solution of polyhedra

Isometric embeddings in R3 of an annulus with a locally euclidean metric which are multivalued of cylindrical type

Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula

A generalized Heron-Tartaglia formula and some of its consequences

Solutions of the equation $ \Delta u=f(x,y)e^{cu}$ in some special cases

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

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