Product of generalized $p-$K\"ahler manifolds
Differential Geometry
2017-02-16 v2 Symplectic Geometry
Abstract
A product of K\"ahler manifolds also carries a K\"ahler metric. In this short note we would like to study the product of generalized K\"ahler manifolds, compact or not. The results we get extend the known results (balanced, SKT, sG manifolds), and are optimal in the compact case. Hence we can give new non-trivial examples of generalized K\"ahler manifolds.
Keywords
Cite
@article{arxiv.1607.06238,
title = {Product of generalized $p-$K\"ahler manifolds},
author = {Lucia Alessandrini},
journal= {arXiv preprint arXiv:1607.06238},
year = {2017}
}
Comments
22 pages; minor corrections, examples 6.6 and 6.7 have been changed. To appear in Annali di Matematica Pura ed Applicata