Optimal general inequalities for Lagrangian submanifolds in complex space forms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:379

Article

Chen, Bang-Yen¹  Dillen, Franki² 

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] Katholieke Univ Leuven, Dept Wiskunde, BE-3001 Louvain, Belgium

关键词: Lagrangian submanifold;    Optimal inequalities;    delta-Invariants;   

DOI  :  10.1016/j.jmaa.2010.12.058

来源: Elsevier

【 摘 要 】

Lagrangian submanifolds appear naturally in the context of classical mechanics. Moreover, they play some important roles in supersymmetric field theories as well as in string theory. In this paper we establish general inequalities for Lagrangian submanifolds in complex space forms. We also provide examples showing that these inequalities are the best possible. Moreover, we provide simple non-minimal examples which satisfy the equality case of the improved inequalities. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free