Trajectories Joining Two Submanifolds under the Action of Gravitational and Electromagnetic Fields on Static Spacetimes

被引：0

作者：

Rossella Bartolo

Anna Germinario

机构：

[1] Politecnico di Bari,Dipartimento Interuniversitario di Matematica

[2] Università degli Studi di Bari,Dipartimento Interuniversitario di Matematica

来源：

Mathematical Physics, Analysis and Geometry | 2002年 / 5卷

关键词：

Lorentzian manifold; normal trajectory; saddle-points; relative category;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we present existence and multiplicity results for orthogonal trajectories joining two submanifolds under the action of gravitational and electromagnetic fields on static spacetimes. These trajectories are critical points of unbounded functionals and they can be found by using a variant of the saddle point theorem and the relative category theory.

引用

页码：125 / 143

页数：18

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