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In this paper we derive an integral formula on an (n + 1)-dimensional, compact, minimal contact CR-submanifold M of (n − 1)contact CR-dimension immersed in a unit (2m+1)-sphere S2m+1. Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.
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참고문헌 (12)
참고문헌 신청
A. Bejancu / 1886 / Geometry of CR-Submanifolds / D. Reidel Publishing Company
B. Y. Chen / 1973 / Geometry of Submanifolds / Marcel Dekker Inc.
H. S. Kim / / Certain class of contact CR-submanifolds of an odd-dimensional unit sphere / Taiwanese Math. J.
H. S. Kim / / Scalar curvature of QR-submanifolds with maximal QR-dimension in a quaternionic projective space, submitted
J. Erbacher / 1971 / Reduction of the codimension of an isometric immersion / J. Differential Geometry 5 : 333 ~ 340
B. Y. Chen / 1973 / Geometry of Submanifolds / Marcel Dekker Inc.
H. S. Kim / / Certain class of contact CR-submanifolds of an odd-dimensional unit sphere / Taiwanese Math. J.
H. S. Kim / / Scalar curvature of QR-submanifolds with maximal QR-dimension in a quaternionic projective space, submitted
J. Erbacher / 1971 / Reduction of the codimension of an isometric immersion / J. Differential Geometry 5 : 333 ~ 340
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