Maslov index in semi-Riemannian submersions

被引：3
|
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.
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页码：57 / 75
页数：19
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