Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms

Lamia Saeed Alqahtani

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

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.

Date: 2021
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https://doi.org/10.1155/2021/6260639

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:6260639

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