Deformations of constant mean curvature 1/2 surfaces in H2xR with vertical ends at infinity

Details Deformations of constant mean curvature 1/2 surfaces in H2xR with vertical ends at infinity Deformations of constant mean curvature 1/2 surfaces in H2xR with vertical ends at infinity

2012-03-04

arxiv.org/abs/1203.0760v1

Mathematics

Differential Geometry

21 pages

Scientific paper

We study constant mean curvature 1/2 surfaces in H2xR that admit a compactification of the mean curvature operator. We show that a particular family of complete entire graphs over H2 admits a structure of infinite dimensional manifold and deduce a result on the possible behaviors at infinity. Deforming non degenerate constant mean curvature 1/2 annuli, we provide a large class of (non rotational) examples and construct annuli (possibly embedded) without axis, namely with two vertical, asymptotically rotational, non aligned ends.

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