Journal
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Volume 63, Issue -, Pages 30-49Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.difgeo.2018.12.006
Keywords
Casorati curvature; Lagrangian submanifold; Complex space form; Ideal submanifold
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Funding
- National Research Foundation of Korea (NRF) - Ministry of Education [2017R1D1A1B03033978]
- Ministry of Research and Innovation, CNCS-UEFISCDI, within PNCDI III [PN-III-P4-ID-PCE-2016-0065]
- National Research Foundation of Korea [2017R1D1A1B03033978] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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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