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

被引：1

作者：

Pavlova, N. G. ^{[1
]}

Remizov, A. O. ^{[2
]}

机构：

[1] Peoples Friendship Univ Russia, Moscow, Russia

[2] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow, Russia

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2017年 / 72卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

SIGNATURE;

D O I：

10.1070/RM9760

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：577 / 579

页数：3

共 23 条

[1] Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics
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[2] Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics
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[4] Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics
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[5] Completion of the classification of generic singularities of geodesic flows in two classes of metrics
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Remizov, A. O.
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[6] Differential fields and geodesic flows II: Geodesic flows of pseudo-Riemannian algebraic varieties
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[7] Differential fields and geodesic flows II: Geodesic flows of pseudo-Riemannian algebraic varieties
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[J]. Israel Journal of Mathematics, 2019, 230 : 527 - 561
[8] Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta
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[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2009, 59 (07) : 1048 - 1062
[9] Integrable magnetic geodesic flows on 2-surfaces *
Agapov, Sergei
Potashnikov, Alexey
Shubin, Vladislav
[J]. NONLINEARITY, 2023, 36 (04) : 2128 - 2147
[10] There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics
Kiosak, Volodymyr
Matveev, Vladimir S.
[J]. COMPTES RENDUS MATHEMATIQUE, 2009, 347 (17-18) : 1067 - 1069

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