Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms
Keyword(s):
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.
2000 ◽
Vol 128
(3)
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pp. 511-533
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2020 ◽
Vol 17
(05)
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pp. 2050073
Keyword(s):
The normalized Ricci flow and homology in Lagrangian submanifolds of generalized complex space forms
2020 ◽
Vol 17
(06)
◽
pp. 2050094
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Keyword(s):
2013 ◽
Vol 55
(2)
◽
pp. 465-480
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2002 ◽
Vol 132
(3)
◽
pp. 481-508
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1989 ◽
Vol 12
(4)
◽
pp. 787-790
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Keyword(s):