Almost Hermitian structures on tangent bundles
Differential Geometry
2025-03-24 v2
Abstract
In this article, we consider the almost Hermitian structure on induced by a pair of a metric and an affine connection on . We find the conditions under which admits almost K\"ahler structures, K\"ahler structures and Einstein metrics, respectively. Moreover, we give two examples of K\"ahler-Einstein structures on .
Cite
@article{arxiv.1908.10824,
title = {Almost Hermitian structures on tangent bundles},
author = {Hiroyasu Satoh},
journal= {arXiv preprint arXiv:1908.10824},
year = {2025}
}