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.

引用

页码：281 / 297

页数：17

共 15 条

[1] ON THE EXISTENCE OF INFINITELY MANY GEODESICS ON SPACE-TIME MANIFOLDS
BENCI, V
FORTUNATO, D
[J]. ADVANCES IN MATHEMATICS, 1994, 105 (01) : 1 - 25
[2] CANDELA AM, IN PRESS ANN MAT PUR
[3] ON P-CONVEX SETS AND GEODESICS
CANINO, A
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 75 (01) : 118 - 157
[4] CATEGORY OF LOOP-SPACES OF OPEN SUBSETS IN EUCLIDEAN-SPACE
FADELL, E
HUSSEINI, S
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (12) : 1153 - 1161
[5] A FERMAT PRINCIPLE FOR STATIONARY SPACE-TIMES AND APPLICATIONS TO LIGHT RAYS
FORTUNATO, D
GIANNONI, F
MASIELLO, A
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 1995, 15 (02) : 159 - 188
[6] FORTUNATO D, 1995, P VAR LOC METH STUD, P34
[7] ON THE EXISTENCE OF GEODESICS ON STATIONARY LORENTZ MANIFOLDS WITH CONVEX BOUNDARY
GIANNONI, F
MASIELLO, A
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 101 (02) : 340 - 369
[8] Grove K., 1973, J DIFFER GEOM, V8, P207
[9] Hawking S. W., 2011, LARGE SCALE STRUCTUR
[10] KLINGENBERG W, 1982, RIEMANNIAN GEOMETRY

← 1 2 →