Lagrangian submanifolds with prescribed second fundamental form
Differential Geometry
2013-09-18 v1
Abstract
We classify Lagrangian submanifolds of complex space forms, whose second fundamental form can be written in a certain way, depending on a real parameter. For some special values of this parameter, the resulting submanifolds are ideal in the sense that they realize equality in an inequality for a Chen's delta-curvature.
Cite
@article{arxiv.1309.4365,
title = {Lagrangian submanifolds with prescribed second fundamental form},
author = {Bang-Yen Chen and Joeri Van der Veken and Luc Vrancken},
journal= {arXiv preprint arXiv:1309.4365},
year = {2013}
}
Comments
8 pages. To appear in the Proceedings of Pure and Applied Differential Geometry PADGE 2012 - in honor of Franki Dillen