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Closed geodesics in Riemannian manifolds with convex boundary*
Published online by Cambridge University Press: 14 November 2011
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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