Uniqueness of H-surfaces in $${\mathbb{H}}^2 \times \mathbb{R},{{\vert H\vert \leq 1/2}}$$ , with boundary one or two parallel horizontal circles

Author:

Nelli Barbara,Sa Earp Ricardo,Santos Walcy,Toubiana Eric

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference35 articles.

1. Abresch U. and Rosenberg H. (2004). A Hopf differential for constant mean curvature surfaces in $${\mathbb{S}}^2 \times {\mathbb{R}}$$ and $${\mathbb{H}}^2 \times {\mathbb{R}}$$ Acta Math. 193(2): 141–174

2. Alexandrov A.D. (1956). Uniqueness theorems for surfaces in the large. I, (Russian) Vestnik Leningrad Univ. Math. 11: 5–17

3. Barbosa J.L. (1991). Constant mean curvature surfaces bounded by a plane curve. Mat. Contemp. 1: 3–15

4. Barbosa J.L. and Sa Earp R. (1995). New results on prescribed mean curvature. hypersurfaces in Space Forms. An Acad. Bras. Cienc. 67(1): 1–5

5. Barbosa J.L. and Sa Earp R. (1998). Prescribed mean curvature hypersurfaces in H n+1 ( − 1) with convex planar boundary, I. Geom. Dedicata 71: 61–74

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