B.-Y. Chen inequalities for semislant submanifolds in Sasakian space forms

Dragoş Cioroboiu

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-8

Abstract:

Chen (1993) established a sharp inequality for the sectional curvature of a submanifold in Riemannian space forms in terms of the scalar curvature and squared mean curvature. The notion of a semislant submanifold of a Sasakian manifold was introduced by J. L. Cabrerizo, A. Carriazo, L. M. Fernandez, and M. Fernandez (1999). In the present paper, we establish Chen inequalities for semislant submanifolds in Sasakian space forms by using subspaces orthogonal to the Reeb vector field ξ .

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:354806

DOI: 10.1155/S016117120311215X

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