Flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications
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- by Wayne Rossman, Masaaki Umehara and Kotaro Yamada PDF
- Proc. Amer. Math. Soc. 127 (1999), 2147-2154 Request permission
Abstract:
Using the Bryant representation, we define a flux on homology classes of CMC-$1$ surfaces in $\mathcal {H}^3$, satisfying a balancing formula which is useful to show nonexistence of certain kinds of complete CMC-$1$ surfaces.References
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Additional Information
- Wayne Rossman
- Affiliation: Graduate School of Mathematics, Kyushu University, Fukuoka 812-8581 Japan
- Address at time of publication: Department of Mathematics, Faculty of Science, Kobe University, Rokko, Kobe 657-8501, Japan
- Email: wayne@math.kyushu-u.ac.jp, wayne@math.kobe-u.ac.jp
- Masaaki Umehara
- Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043 Japan
- Address at time of publication: Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
- MR Author ID: 237419
- Email: umehara@math.wani.osaka-u.ac.jp, umehara@math.sci.hiroshima-u.ac.jp
- Kotaro Yamada
- Affiliation: Department of Mathematics, Faculty of Science, Kumamoto University, Kumamoto 860-8555 Japan
- MR Author ID: 243885
- Email: kotaro@gpo.kumamoto-u.ac.jp
- Received by editor(s): October 15, 1997
- Published electronically: March 3, 1999
- Additional Notes: The authors were supported by Volkswagen-Stiftung (RiP Program in Mathematisches Forschungsinstitut Oberwolfach). The third author was supported by the Inamori Foundation.
- Communicated by: Peter Li
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2147-2154
- MSC (1991): Primary 53A10; Secondary 53A35, 53A42
- DOI: https://doi.org/10.1090/S0002-9939-99-04892-3
- MathSciNet review: 1605941