Open Access
July 2012 The construction of rotation surfaces of constant mean curvature and the corresponding Lagrangians
Keiichi Kikuchi
Tsukuba J. Math. 36(1): 43-52 (July 2012). DOI: 10.21099/tkbjm/1341951743

Abstract

A family of S1-equivariant hypersurfaces of constant mean curvature can be obtained by using the Lagrangians with suitable potentials in the unit 3-sphere equipped with a certain parameterized metric. The conservation law is effectively applied to the construction of S1-equivariant hypersurfaces of constant mean curvature.

Citation

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Keiichi Kikuchi. "The construction of rotation surfaces of constant mean curvature and the corresponding Lagrangians." Tsukuba J. Math. 36 (1) 43 - 52, July 2012. https://doi.org/10.21099/tkbjm/1341951743

Information

Published: July 2012
First available in Project Euclid: 10 July 2012

zbMATH: 1246.53082
MathSciNet: MR2976548
Digital Object Identifier: 10.21099/tkbjm/1341951743

Subjects:
Primary: 53C43 , 70H03

Keywords: CMC-rotation surfaces , Conservation laws , Lagrangians

Rights: Copyright © 2012 University of Tsukuba, Institute of Mathematics

Vol.36 • No. 1 • July 2012
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