ON THE EXISTENCE OF MULTIPLE GEODESICS IN STATIC SPACE-TIMES

被引：64

作者：

BENCI, V ^{[1
]}

FORTUNATO, D ^{[1
]}

GIANNONI, F ^{[1
]}

机构：

[1] UNIV BARI,DIPARTMENTO MATEMAT,I-70124 BARI,ITALY

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1991年 / 8卷 / 01期

关键词：

LORENTZ METRICS; GEODESICS; CRITICAL POINT THEORY;

D O I：

10.1016/S0294-1449(16)30278-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the problem of the existence of geodesics in static space-times which are a particular case of Lorentz manifolds. We prove multiplicity results about geodesics joining two given events and about periodic trajectories having a prescribed period.

引用

页码：79 / 102

页数：24

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[2]

AVEZ A, 1963, ANN I FOURIER, V132, P105, DOI DOI 10.5802/AIF.144

[3] ABSTRACT CRITICAL-POINT THEOREMS AND APPLICATIONS TO SOME NON-LINEAR PROBLEMS WITH STRONG RESONANCE AT INFINITY [J].