Abstract

Abstract:

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

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1075-1112
Launched on MUSE
2018-07-07
Open Access
No
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