Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms | Zendy

Lamia Saeed Alqahtani | Zendy

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Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms

Author(s) -

Lamia Saeed Alqahtani

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/6260639

Subject(s) - submanifold , lagrangian , mathematics , pure mathematics , complex space , space (punctuation) , characterization (materials science) , ricci curvature , type (biology) , mean curvature , curvature , ambient space , mathematical analysis , geometry , physics , computer science , ecology , affine transformation , optics , biology , operating system

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

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