Upper Bounds for Ricci Curvatures for Submanifolds in Bochner-Kaehler Manifolds

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Published: Sep 10, 2020
DOI: https://doi.org/10.5556/j.tkjm.51.2020.2967
Keywords:
Bochner-Kaehler manifold Einstein manifold Ricci curvature slant submanifolds.

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Mehraj Ahmad Lone
NIT Srinagar, India
Yoshio Matsuyama
Department of Mathematics, Chuo University, Faculity of Sciences and Engineering, 1-13-27 Kasuga, Bunkyo-Ku, Tokyo 112-8551, Japan
Falleh R. Al-Solamy
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Mohammad Hasan Shahid
Department of Mathematics, Jamia Millia Islamia, New Delhi-110 025, India.
Mohammed Jamali
Department of Mathematics, Al-Falah University, Haryana-121004, India.

Abstract

Chen established the relationship between the Ricci curvature and the squared norm of mean curvature vector for submanifolds of Riemannian space form with arbitrary codimension known as Chen-Ricci inequality. Deng improved the inequality for Lagrangian submanifolds in complex space form by using algebraic technique. In this paper, we establish the same inequalities for different submanifolds of Bochner-Kaehler manifolds. Moreover, we obtain improved
Chen-Ricci inequality for Kaehlerian slant submanifolds of Bochner-Kaehler manifolds.

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How to Cite
Lone, M. A., Matsuyama, Y., Al-Solamy, F. R., Shahid, M. H., & Jamali, M. (2020). Upper Bounds for Ricci Curvatures for Submanifolds in Bochner-Kaehler Manifolds. Tamkang Journal of Mathematics, 51(1), 53–67. https://doi.org/10.5556/j.tkjm.51.2020.2967
Issue
Vol. 51 No. 1 (2020)
Section
Papers
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