Maslov index in semi-Riemannian submersions

被引：4

作者：

Caponio, Erasmo ^{[1
]}

Angel Javaloyes, Miguel ^{[2
]}

Piccione, Paolo ^{[3
]}

机构：

[1] Politecn Bari, Dipartimento Matemat, I-70125 Bari, Italy

[2] Univ Granada, Dept Geometria & Topol, Fac Ciencias, E-18071 Granada, Spain

[3] Univ Sao Paulo, Dept Matemat, BR-05508900 Sao Paulo, Brazil

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2010年 / 38卷 / 01期

关键词：

Semi-Riemannian submersions; O'Neill tensors; Maslov index; CONJUGATE-POINTS; MORSE INDEX; FOCAL POINTS; GEODESICS; GEOMETRY; THEOREM; SYSTEMS;

D O I：

10.1007/s10455-010-9200-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study focal points and Maslov index of a horizontal geodesic gamma : I -> M in the total space of a semi-Riemannian submersion pi : M -> B by determining an explicit relation with the corresponding objects along the projected geodesic pi omicron gamma : I -> B in the base space. We use this result to calculate the focal Maslov index of a (spacelike) geodesic in a stationary spacetime which is orthogonal to a timelike Killing vector field.

引用

页码：57 / 75

页数：19

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