Light rays joining two submanifolds in space-times

被引：9
|
作者：
Candela, AM
Salvatore, A
机构：
[1] Dipartimento di Matematica, Università di Bari, 70125 Bari
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 1997年 / 22卷 / 04期
关键词：
variational methods; Ljusternik-Schnirelman category; light rays; general relativity;
D O I：
10.1016/S0393-0440(96)00034-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let M = M-0 x R be a stationary Lorentz metric and P-0, P-1 be two closed submanifolds of M-0. By using the Ljusternik-Schnirelman theory and variational tools, we prove the influence of the topology of P-0 and P-1 on the number of lightlike geodesics in M joining P-0 x {0} to P-1 x R.
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页码：281 / 297
页数：17
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