Flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications

Author:

Rossman Wayne,Umehara Masaaki,Yamada Kotaro

Abstract

Using the Bryant representation, we define a flux on homology classes of CMC- 1 1 surfaces in H 3 \mathcal {H}^3 , satisfying a balancing formula which is useful to show nonexistence of certain kinds of complete CMC- 1 1 surfaces.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference18 articles.

1. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Bieberbach, Ludwig,1979

2. [Bry] R. Bryant, \itshape Surfaces of mean curvature one in hyperbolic space, Astérisque \bfseries154–155 (1987), 321–347.

3. [KK] N. Korevaar and R. Kusner, \itshape The global structure of constant mean curvature surfaces, Invent. Math. \bfseries114 (1993), 311–332.

4. The structure of complete embedded surfaces with constant mean curvature;Korevaar, Nicholas J.;J. Differential Geom.,1989

5. Constant mean curvature surfaces in hyperbolic space;Korevaar, Nicholas J.;Amer. J. Math.,1992

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