An intrinsic Fermat principle on stationary Lorentzian manifolds and applications

被引：1

作者：

Caponio, E ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2002年 / 16卷 / 03期

关键词：

Lorentzian manifold; killing field; Fermat principle; light rays; critical point theory;

D O I：

10.1016/S0926-2245(02)00069-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a Fermat principle for Lorentzian manifold endowed with a timelike Killing vector field is formulated. This principle is applied to obtain existence and multiplicity results on the number of light rays joining an event with an integral curve of the Killing vector field. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：245 / 265

页数：21

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