Minimal ends in H2xR with finite total curvature and a Schoen type theorem

Details Minimal ends in H2xR with finite total curvature and a Schoen type theorem Minimal ends in H2xR with finite total curvature and a Schoen type theorem

2011-11-03

arxiv.org/abs/1111.0851v2

Mathematics

Differential Geometry

32 pages, 7 figures, Revised Version

Scientific paper

In this paper we prove that a complete minimal surface immersed in H^2xR,
with finite total curvature and two ends, each one asymptotic to a vertical
geodesic plane, must be a model surface. Moreover, we give a geometric
description of minimal ends of finite total curvature in H^2xR.

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