Existence of a Closed Geodesic on Non-compact Riemannian Manifolds with Boundary-Reference-Cited by-同舟云学术

Existence of a Closed Geodesic on Non-compact Riemannian Manifolds with Boundary

Published:2002-02-01 Issue:1 Volume:2 Page:51-69
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Bartolo Rossella¹,Germinario Anna²,Sánchez Miguel³

Affiliation:

1. Dipartimento Interuniversitario di Matematica Politecnico di Bari, Bari, Italy 70125

2. Dipartimento Interuniversitario di Matematica Universita di Bari, Bari, Italy 70125

3. Departamento de Geometría y Topología Fac. Ciencias, Univ. Granada, Granada, Spain 18071

Abstract

Abstract A new result about the existence of a closed geodesic on a Riemannian manifold with boundary is given. A detailed comparison with previous results is carried out.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2002-0104/pdf

Reference8 articles.

1. On the existence of closed geodesics on noncompact Riemannian manifolds Duke;Benci;Math J,1992

2. and Convexity of domains of Rie - mannian manifolds Global to appear;Bartolo;Anal Geom

3. lo Variational problems on compact manifolds Closed geodesic on non - compact Riemannian manifolds ll Algebraic Topology Cambridge;Lyusternik;Akad Nauk SSSR,1951

4. Periodic solutions with prescribed energy on non - complete Riemannian manifolds;Mirenghi;Math Anal Appl,1996

5. Closed geodesics in Riemannian manifolds with convex bounday Edinburgh Sect;Candela;Roy,1994

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