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arXiv · 1104.3252

Rigidity of stable cylinders in three-manifolds

Jose M. Espinar
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Abstract

In this paper we show how the existence of a certain stable cylinder determines (locally) the ambient manifold where it is immersed. This cylinder has to verify a {\it bifurcation phenomena}, we make this explicit in the introduction. In particular, the existence of such a stable cylinder implies that the ambient manifold has infinite volume.

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Jose M. Espinar. 2011-04-16. Rigidity of stable cylinders in three-manifolds. https://arxiv.org/abs/1104.3252

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