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Some inequalities for Ricci curvature of certain submanifolds in Sasakian space forms

Cioroboiu, Dragos (2003) Some inequalities for Ricci curvature of certain submanifolds in Sasakian space forms. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 19 (2). pp. 233-243. ISSN 0866-0174

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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.

Item Type: Article
Uncontrolled Keywords: bi-slant submanifold, Ricci curvature, mean curvature, Sasakian space form, semi-slant submanifold, slant submanifold
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 30 Jan 2024 12:29
Last Modified: 30 Jan 2024 12:33
URI: http://real.mtak.hu/id/eprint/186703

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