Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature

Kitagawa, Yoshihisa

Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 283-298 / Harvested from Project Euclid

Résumé

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.

Publié le : 2000-05-14
Classification: 53C42, 53C40

@article{1178224612,
     author = {Kitagawa, Yoshihisa},
     title = {Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 283-298},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178224612}
}

Kitagawa, Yoshihisa. Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  283-298. http://gdmltest.u-ga.fr/item/1178224612/