Classification of Casorati ideal Lagrangian submanifolds in complex space forms

Aquib, Mohd.; Lee, Jae Won; Vilcu, Gabriel-Eduard; Yoon, Dae Won

doi:10.1016/j.difgeo.2018.12.006

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Classification of Casorati ideal Lagrangian submanifolds in complex space forms

Aquib, Mohd.;
Lee, Jae Won;
Vilcu, Gabriel-Eduard;
Yoon, Dae Won

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WEB OF SCIENCE

54

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55

초록

In this paper, using optimization methods on Riemannian submanifolds, we establish two improved inequalities for generalized normalized delta-Casorati curvatures of Lagrangian submanifolds in complex space forms. We provide examples showing that these inequalities are the best possible and classify all Casorati ideal Lagrangian submanifolds (in the sense of B.-Y. Chen) in a complex space form. In particular, we generalize the recent results obtained in G.E. Vilcu (2018) [34]. (C) 2019 Elsevier B.V. All rights reserved.

키워드

Casorati curvature; Lagrangian submanifold; Complex space form; Ideal submanifold; INEQUALITY; HYPERSURFACES; EQUALITY

제목: Classification of Casorati ideal Lagrangian submanifolds in complex space forms

저자: Aquib, Mohd.; Lee, Jae Won; Vilcu, Gabriel-Eduard; Yoon, Dae Won

DOI: 10.1016/j.difgeo.2018.12.006

발행일: 2019-04

유형: Article

저널명: Differential Geometry and its Application

권: 63

페이지: 30 ~ 49