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

被引：4

作者：

Remizov, A. O. ^{[1
]}

机构：

[1] Univ Porto, Oporto, Portugal

来源：

SBORNIK MATHEMATICS | 2009年 / 200卷 / 3-4期

关键词：

pseudo-Riemannian metric; geodesic lines; singular points; resonances; normal forms; EXTENDABILITY; TRANSITIONS; SYSTEMS; TIME;

D O I：

10.1070/SM2009v200n03ABEH004001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Smooth 2-surfaces with pseudo-Riemannian metric are considered, that is, ones with quadratic form in the tangent bundle that is not positive-definite. Degeneracy points of the form are said to be parabolic. Geodesic lines induced by this pseudo-Riemannian metric in a neighbourhood of typical parabolic points are considered, their phase portraits are obtained and extremal properties are investigated.

引用

页码：385 / 403

页数：19

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