Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms

Alqahtani, Lamia Saeed and Hui, Shyamal Kumar (2021) Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms. Advances in Mathematical Physics, 2021. pp. 1-7. ISSN 1687-9120

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Abstract

In this paper, we give an estimate of the first eigenvalue of the Laplace operator on a Lagrangian submanifold Mn minimally
immersed in a complex space form. We provide sufficient conditions for a Lagrangian minimal submanifold in a complex
space form with Ricci curvature bound to be isometric to a standard sphere Sn. We also obtain Simons-type inequality for
same ambient space form.

Item Type: Article
Subjects: Euro Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 20 Mar 2023 04:27
Last Modified: 18 Jun 2024 06:34
URI: http://publish7promo.com/id/eprint/725

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