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B.-Y. Chen inequalities for semislant submanifolds in Sasakian space forms. (English) Zbl 1045.53038

B.-Y. Chen’s sharp estimation for the sectional curvature of a submanifold in Riemannian space forms in terms of the scalar curvature is extended to semislant submanifolds in space forms. The concept of a semislant submanifold is recalled in the paper.

MSC:

53C40 Global submanifolds
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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