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arXiv · 1304.1773

Minimal surfaces in finite volume hyperbolic 3-manifolds N and in MxS(1), M a finite area hyperbolic surface

Pascal Collin·Laurent Hauswirth·Harold Rosenberg
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Abstract

We consider properly immersed finite topology minimal surfaces S in complete finite volume hyperbolic 3-manifolds N, and in M x S(1), where M is a complete hyperbolic surface of finite area. We prove S has finite total curvature equal to 2\pi times the Euler characteristic of S, and we describe the geometry of the ends of S.

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Pascal Collin, Laurent Hauswirth, Harold Rosenberg. 2013-04-05. Minimal surfaces in finite volume hyperbolic 3-manifolds N and in MxS(1), M a finite area hyperbolic surface. https://arxiv.org/abs/1304.1773

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