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Pseudo-umbilical submanifolds of constant curvature Riemannian manifolds

Published online by Cambridge University Press:  04 June 2001

Xi-Fang Cao
Xi-Fang Cao
Affiliation:
Department of Mathematics, Yangzhou University, Yangzhou 225002, People's Republic of China e-mail:xifanfcao@hotmail.com
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Bai [1] gave an intrinsic integral inequality for compact minimal submanifolds of constant curvature Riemannian manifolds. In this paper, we extend Bai's result to the case of pseudo-umbilical submanifolds.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 1 , January 2001 , pp. 129 - 133
Copyright
2001 Glasgow Mathematical Journal Trust