Extremal K\"ahler metrics and energy functionals on projective bundles
Differential Geometry
2011-07-27 v1
Abstract
In this paper, we prove the equivalence of the existence of extremal Kahler metrics and the properness of the modified K energy on projective bundles. Moreover, we discuss the relations of the lower boundedness of the K energy, the infimum of the Calabi energy and the extremal polynomials. In particular, we give an example where the modified K energy is bounded from below but not proper.
Keywords
Cite
@article{arxiv.1107.5237,
title = {Extremal K\"ahler metrics and energy functionals on projective bundles},
author = {Haozhao Li},
journal= {arXiv preprint arXiv:1107.5237},
year = {2011}
}
Comments
26 pages