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

Authors
Rossman, W Umehara, M Yamada, K
Citation
W. Rossman et al., Flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications, P AM MATH S, 127(7), 1999, pp. 2147-2154
Citations number
18
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
7
Year of publication
1999
Pages
2147 - 2154
Database
ISI
SICI code
0002-9939(199907)127:7<2147:FFMC1S>2.0.ZU;2-A
Abstract
Using the Bryant representation, we define a flux on homology classes of CM C-1 surfaces in H-3, satisfying a balancing formula which is useful to show nonexistence of certain kinds of complete CMC-1 surfaces.