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
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
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