Classification of Casorati ideal Lagrangian submanifolds in complex space forms

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.

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