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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Half-space theorems for mean curvature one surfaces in hyperbolic space
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by Lucio Rodriguez and Harold Rosenberg PDF
Proc. Amer. Math. Soc. 126 (1998), 2755-2762 Request permission

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
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Additional Information
  • Lucio Rodriguez
  • Affiliation: Institute for Pure-Applied Mathematics, Estrada Dona Castorina 110, 22460 Rio de Janeiro, Brazil
  • Email: lucio@impa.br
  • Harold Rosenberg
  • Affiliation: Department of Mathematics, University of Paris VII, 2 place Jussieu, 75251 Paris, France
  • MR Author ID: 150570
  • Email: rosen@math.jussieu.fr
  • Received by editor(s): September 10, 1996
  • Communicated by: Peter Li
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 2755-2762
  • MSC (1991): Primary 53A10
  • DOI: https://doi.org/10.1090/S0002-9939-98-04510-9
  • MathSciNet review: 1458259