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A new flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications

Wayne Rossman, Masaaki Umehara, Kotaro Yamada

dg-gaarXiv:dg-ga/9710015

Abstract

Using the Bryant representation, we define a new flux on homology classes of CMC-1 surfaces in hyperbolic 3-space, satisfying a balancing formula which is useful to show nonexistencd of certain kinds of complete CMC-1 surfaces.

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