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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A deformation of tori with constant mean curvature in $ {\bf R}\sp 3$ to those in other space forms


Authors: Masaaki Umehara and Kotaro Yamada
Journal: Trans. Amer. Math. Soc. 330 (1992), 845-857
MSC: Primary 53A10
DOI: https://doi.org/10.1090/S0002-9947-1992-1050088-2
MathSciNet review: 1050088
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Abstract: It is shown that tori with constant mean curvature in $ {\mathbb{R}^3}$ constructed by Wente $ [7]$ can be deformed to tori with constant mean curvature in the hyperbolic $ 3$-space or the $ 3$-sphere.


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DOI: https://doi.org/10.1090/S0002-9947-1992-1050088-2
Keywords: Surfaces with constant mean curvature
Article copyright: © Copyright 1992 American Mathematical Society