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Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms

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  • Lamia Saeed Alqahtani

Abstract

In this paper, we give an estimate of the first eigenvalue of the Laplace operator on a Lagrangian submanifold 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 . We also obtain Simons-type inequality for same ambient space form.

Suggested Citation

  • Lamia Saeed Alqahtani, 2021. "Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-7, September.
    • Handle: RePEc:hin:jnlamp:6260639
    DOI: 10.1155/2021/6260639
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