Tohoku Mathematical Journal
2000
June
SECOND SERIES VOL. 52, NO. 2

Tohoku Math. J.
52 (2000), 283-298

Title ISOMETRIC DEFORMATIONS OF FLAT TORI IN THE 3-SPHERE WITH NONCONSTANT MEAN CURVATURE

Author Yoshihisa Kitagawa

(Received October 14, 1998, revised April 19, 1999)
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.

1991 Mathematics Subject Classification. Primary 53C42.

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