CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator
Differential Geometry
2012-11-28 v2
Abstract
Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field {\xi} is recurrent if there exists a 1-form v such that \nabla A = A \otimes v. We show that M is an Euclidean space under the condition that A is recurrent.
Keywords
Cite
@article{arxiv.1012.5852,
title = {CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator},
author = {Mirjana Milijevic},
journal= {arXiv preprint arXiv:1012.5852},
year = {2012}
}
Comments
This paper has been withdrawn because the author wants to improve it with new results