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Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics

Geometriae dedicata, 2016-12, Vol.185 (1), p.131-153

2016

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Hyperbolic Roussarie fields with degenerate quadratic part

Russian mathematical surveys, 2021-04, Vol.76 (2), p.366-368

2021

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Completion of the classification of generic singularities of geodesic flows in two classes of metrics

Izvestiya. Mathematics, 2019-02, Vol.83 (1), p.104-123

2019

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Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist

SIAM journal on imaging sciences, 2014-01, Vol.7 (2), p.669-695

2014

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A complete classification of generic singularities of geodesic flows on 2-surfaces with pseudo-Riemannian metrics

Russian mathematical surveys, 2017-06, Vol.72 (3), p.577-579

2017

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On isomorphisms of pseudo-Euclidean spaces with signature (p,n−p) for p=2,3

Linear algebra and its applications, 2018-03, Vol.541, p.60-80

2018

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Linear Algebra and Geometry

2013, 2012

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Singularities of quasi-linear differential equations

Dalʹnevostochnyĭ matematicheskiĭ zhurnal, 2023-06, Vol.23 (1), p.85-105

Remizov, A. O.

2023

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On Pleated Singular Points of First-Order Implicit Differential Equations

Journal of dynamical and control systems, 2014-04, Vol.20 (2), p.197-206

2014

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Implicit differential equations and vector fields with non-isolated singular points

Sbornik. Mathematics, 2002-12, Vol.193 (11), p.1671-1690

Remizov, A O

2002

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Codimension-two singularities in 3D affine control systems with a scalar control

Sbornik. Mathematics, 2008-04, Vol.199 (4), p.613-627

Remizov, A O

2008

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On Proper Singular Points of Ordinary Differential Equations Unsolved for Derivatives

Differential equations, 2002-05, Vol.38 (5), p.654

Remizov, A O

2002

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Improper Singular Points of Corank 1 of Systems of Differential Equations Not Solved for the Derivatives

Differential equations, 2002-08, Vol.38 (8), p.1122

Remizov, A O

2002

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Vector fields with nonisolated singular points

Doklady. Mathematics, 2002-05, Vol.65 (3), p.437-439

REMIZOV, A. O

2002

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Smooth Local Normal Forms of Hyperbolic Roussarie Vector Fields

Moscow mathematical journal, 2021, Vol.21 (2), p.413-426

2021

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On the local and global properties of geodesics in pseudo-Riemannian metrics

Differential geometry and its applications, 2015-04, Vol.39, p.36-58

Remizov, A.O.

2015

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Geodesics in generalized Finsler spaces: singularities in dimension two

Journal of singularities, 2016

Remizov, Alexey

2016

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On a class of vector fields with discontinuities of divide-by-zero type and its applications to geodesics in singular metrics

Journal of dynamical and control systems, 2012, Vol.18 (1), p.135-158

2012

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Multidimensional Poincaré construction and singularities of lifted fields for implicit differential equations

Journal of mathematical sciences (New York, N.Y.), 2008-06, Vol.151 (6), p.3561-3602

Remizov, A. O.

2008

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Singularities of a geodesic flow on surfaces with a cuspidal edge

Proceedings of the Steklov Institute of Mathematics, 2010-04, Vol.268 (1), p.248-257

Remizov, A. O.

2010

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A Brief Survey on Singularities of Geodesic Flows in Smooth Signature Changing Metrics on 2-Surfaces

Singularities and Foliations. Geometry, Topology and Applications, 2018, Vol.222, p.135-155

2018

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Geodesics on 2-surfaces with pseudo-Riemannian metric: singularities of changes of signature

Sbornik. Mathematics, 2009-04, Vol.200 (3), p.385-403

Remizov, Alexey O

2009

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On geodesics in metrics with singularities of the Klein type

Russian mathematical surveys, 2010-01, Vol.65 (1), p.180-182

Remizov, Alexey O

2010

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Codimension-two singularities in 3D affine control systems with a scalar control

Sbornik. Mathematics, 2008-04, Vol.199 (4)

Remizov, A O

2008

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Geodesics on hypersurfaces in Minkowski space: singularities of signature change

Russian mathematical surveys, 2011-12, Vol.66 (6), p.1201-1203

2011

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Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics

Hyperbolic Roussarie fields with degenerate quadratic part

Completion of the classification of generic singularities of geodesic flows in two classes of metrics

Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist

A complete classification of generic singularities of geodesic flows on 2-surfaces with pseudo-Riemannian metrics

On isomorphisms of pseudo-Euclidean spaces with signature (p,n−p) for p=2,3

Linear Algebra and Geometry

Singularities of quasi-linear differential equations

On Pleated Singular Points of First-Order Implicit Differential Equations

Implicit differential equations and vector fields with non-isolated singular points

Codimension-two singularities in 3D affine control systems with a scalar control

On Proper Singular Points of Ordinary Differential Equations Unsolved for Derivatives

Improper Singular Points of Corank 1 of Systems of Differential Equations Not Solved for the Derivatives

Vector fields with nonisolated singular points

Smooth Local Normal Forms of Hyperbolic Roussarie Vector Fields

On the local and global properties of geodesics in pseudo-Riemannian metrics

Geodesics in generalized Finsler spaces: singularities in dimension two

On a class of vector fields with discontinuities of divide-by-zero type and its applications to geodesics in singular metrics

Multidimensional Poincaré construction and singularities of lifted fields for implicit differential equations

Singularities of a geodesic flow on surfaces with a cuspidal edge

A Brief Survey on Singularities of Geodesic Flows in Smooth Signature Changing Metrics on 2-Surfaces

Geodesics on 2-surfaces with pseudo-Riemannian metric: singularities of changes of signature

On geodesics in metrics with singularities of the Klein type

Codimension-two singularities in 3D affine control systems with a scalar control

Geodesics on hypersurfaces in Minkowski space: singularities of signature change

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