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

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 2πtimes the Euler characteristic of S, and we describe the geometry of the ends of S.

preprint2013arXivOpen access
Pascal CollinLaurent HauswirthHarold Rosenberg
math.DG
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Open access3 authors1 topic
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Pascal CollinLaurent HauswirthHarold Rosenberg

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