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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 19, No. 2, pp. 233-243 (2003)
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Some inequalities for Ricci curvature of certain submanifolds in Sasakian space forms

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Dragos Cioroboiu

University Politehnica of Bucharest, Romania

**Abstract:**
In the present paper, we obtain sharp inequalities between the Ricci curvature and the squared mean curvature for slant,semi-slant and bi-slant submanifolds in Sasakian space forms. Also, estimates of the scalar curvature and the $k$-Ricci curvature respectively, in terms of the squared mean curvature, are proved.

**Keywords:** bi-slant submanifold, Ricci curvature, mean curvature, Sasakian space form, semi-slant submanifold, slant submanifold.

**Classification (MSC2000):** 53C40

**Full text of the article:**

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© 2003 ELibM and
FIZ Karlsruhe / Zentralblatt MATH
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