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Closed geodesics in Riemannian manifolds with convex boundary*

Published online by Cambridge University Press:  14 November 2011

Anna Maria Candela  and
Addolorata Salvatore
Anna Maria Candela
Affiliation:
Dipartimento di Matematica, via E. Orabona 4, 70125 Bari, Italy
Addolorata Salvatore
Affiliation:
Dipartimento di Matematica, via E. Orabona 4, 70125 Bari, Italy
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Abstract

In this paper we look for closed geodesies on a noncomplete Riemannian manifold ℳ. We prove that if ℳ has convex boundary, then there exists at least one closed nonconstant geodesic on it.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 6 , 1994 , pp. 1247 - 1258
Copyright
Copyright © Royal Society of Edinburgh 1994

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