Open Access
2000 Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature
Yoshihisa Kitagawa
Tohoku Math. J. (2) 52(2): 283-298 (2000). DOI: 10.2748/tmj/1178224612

Abstract

For an isometric immersion $f$ of a flat torus into the unit 3-sphere, we show that if the mean curvature of $f$ is not constant, then the immersion $f$ admits a nontrivial isometric deformation preserving the total mean curvature.

Citation

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Yoshihisa Kitagawa. "Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature." Tohoku Math. J. (2) 52 (2) 283 - 298, 2000. https://doi.org/10.2748/tmj/1178224612

Information

Published: 2000
First available in Project Euclid: 3 May 2007

zbMATH: 0995.53046
MathSciNet: MR1756099
Digital Object Identifier: 10.2748/tmj/1178224612

Subjects:
Primary: 53C42
Secondary: 53C40

Rights: Copyright © 2000 Tohoku University

Vol.52 • No. 2 • 2000
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