On CR Submanifolds of Maximal CR Dimension with Flat Normal Connection of a Complex Projective Space
Differential Geometry
2015-12-29 v1
Abstract
In this paper, we study the CR submanifolds of maximal CR dimension with flat normal connection of a complex projective space. We first investigate the position of the umbilical normal vector in the normal bundle, especially for the submanifolds of dimension 3. Then as the application, we prove the non-existence of a class of CR submanifolds of maximal CR dimension with flat normal connection.
Keywords
Cite
@article{arxiv.1512.08226,
title = {On CR Submanifolds of Maximal CR Dimension with Flat Normal Connection of a Complex Projective Space},
author = {Liang Zhang and Man Su and Pan Zhang},
journal= {arXiv preprint arXiv:1512.08226},
year = {2015}
}
Comments
15 pages