Article ID Journal Published Year Pages File Type
842417 Nonlinear Analysis: Theory, Methods & Applications 2010 11 Pages PDF
Abstract

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 (E2n,g̃,P). Moreover, we completely classify Lagrangian submanifolds which satisfy the equality case of one of the two inequalities.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,