CR relatives Kaehler manifolds
Differential Geometry
2022-06-09 v2
Abstract
In this paper we show that two K\"ahler manifolds which do not share a K\"ahler submanifold, do not share either a Levi degenerate CR-submanifold with constant dimension Levi kernel. In particular, they do not share a CR-product. Further, we obtain that a Levi degenerate CR-submanifold of cannot be isometrically immersed into a flag manifold.
Cite
@article{arxiv.2109.13039,
title = {CR relatives Kaehler manifolds},
author = {Stefano Marini and Michela Zedda},
journal= {arXiv preprint arXiv:2109.13039},
year = {2022}
}
Comments
8 pages. In the second version an inaccuracy in the proof of Corollary 2 has been corrected