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Lagrangian submanifolds in para-Kähler manifolds

✍ Scribed by Bang-Yen Chen

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 329 KB
Volume: 73
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.07.038

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✦ Synopsis

In this paper we initiate the study of Lagrangian submanifolds in para-Kähler manifolds. In particular, we prove two general optimal inequalities for Lagrangian submanifolds of the flat para-Kähler manifold (E 2n , g, P). Moreover, we completely classify Lagrangian submanifolds which satisfy the equality case of one of the two inequalities.

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