Higher order Levi forms on homogeneous CR manifolds
Differential Geometry
2020-07-01 v1
Abstract
We investigate the nondegeneracy of higher order Levi forms on weakly nondegenerate homogeneous manifolds. Improving previous results, we prove that general orbits of real forms in complex flag manifolds have order less or equal and the compact ones less or equal~. Finally we construct by Lee extensions weakly nondegenerate vector bundles with arbitrary orders of nondegeneracy.
Keywords
Cite
@article{arxiv.2006.16576,
title = {Higher order Levi forms on homogeneous CR manifolds},
author = {Stefano Marini and Costantino Medori and Mauro Nacinovich},
journal= {arXiv preprint arXiv:2006.16576},
year = {2020}
}
Comments
29 pages