Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900314 | Journal of Mathematical Analysis and Applications | 2018 | 30 Pages |
Abstract
It was proven in [4] that every Lagrangian submanifold M of a complex space form MËn(4c) of constant holomorphic sectional curvature 4c satisfies the following optimal inequality:δ(2,nâ2)â¤n2(nâ2)4(nâ1)H2+2(nâ2)c, where H2 is the squared mean curvature and δ(2,nâ2) is a δ-invariant on M. In this paper we classify Lagrangian submanifolds of complex space forms MËn(4c), nâ¥5, which satisfy the equality case of this improved inequality at every point.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Bang-Yen Chen, Franki Dillen, Joeri Van der Veken, Luc Vrancken,