Holomorphic vector fields and perturbed extremal K\"ahler metrics
Differential Geometry
2007-05-23 v1
Abstract
We prove a theorem which asserts that the Lie algebra of all holomorphic vector fields on a compact K\"ahler manifold with a perturbed extremal metric has the structure similar to the case of an unperturbed extremal K\"ahler metric proved by Calabi.
Keywords
Cite
@article{arxiv.math/0702721,
title = {Holomorphic vector fields and perturbed extremal K\"ahler metrics},
author = {Akito Futaki},
journal= {arXiv preprint arXiv:math/0702721},
year = {2007}
}
Comments
10pages