Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Half-space theorems for mean curvature one surfaces in hyperbolic space

Authors: Lucio Rodriguez and Harold Rosenberg
Journal: Proc. Amer. Math. Soc. 126 (1998), 2755-2762
MSC (1991): Primary 53A10
MathSciNet review: 1458259
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give conditions which oblige properly embedded constant mean curvature one surfaces in hyperbolic 3-space to intersect. Our results are inspired by the theorem that two disjoint properly immersed minimal surfaces in $\mathbf{R}^3$ must be planes.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 53A10

Retrieve articles in all journals with MSC (1991): 53A10

Additional Information

Lucio Rodriguez
Affiliation: Institute for Pure-Applied Mathematics, Estrada Dona Castorina 110, 22460 Rio de Janeiro, Brazil

Harold Rosenberg
Affiliation: Department of Mathematics, University of Paris VII, 2 place Jussieu, 75251 Paris, France

PII: S 0002-9939(98)04510-9
Received by editor(s): September 10, 1996
Communicated by: Peter Li
Article copyright: © Copyright 1998 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia