Semi-slant submanifolds in a locally conformal Kaehler space form

Year 2023, Volume: 52 Issue: 5, 1206 - 1218, 31.10.2023

Vittoria Bonanzınga , Koji Matsumoto

https://doi.org/10.15672/hujms.1032768

Abstract

In this paper, we consider semi-slant submanifolds in a locally conformal Kaehler manifold and a locally conformal Kaehler space form. We give inequalities for the length of the second fundamental form and the mean curvature and, using Gauss and Codazzi equations, we get many useful results in locally conformal Kaehler space form.

Keywords

locally conformal Kaehler manifold, locally conformal Kaehler space form, semi-slant submanifold, mean curvature

Supporting Institution

INdAM, Istituzionale di Alta Matematica

Thanks

This work was supported by the National Group for Algebraic and Geometric Structures, and their Applications (GNSAGA-INdAM), ITALY. The authors thank the National Group.

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