A note on Chen%26apos;s basic equality for submanifolds in a Sasakian space form

作者:Mukut Mani Tripathi; Jeong Sik Kim; Seon Bu Kim
来源:International Journal of Mathematics and Mathematical Sciences, 2003.
DOI:10.1155/s0161171203201137

摘要

It is proved that a Riemannian manifold M isometrically immersed ina Sasakian space form M%26#732;(c) of constant %26#966;-sectionalcurvature c%26#60;1, with the structure vector field %26#958; tangent toM, satisfies Chen%26apos;s basic equality if and only if it is a3-dimensional minimal invariant submanifold.

  • 出版日期2003

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