The Calabi functional on a ruled surface
Differential Geometry
2011-01-27 v1 Algebraic Geometry
Abstract
We study the Calabi functional on a ruled surface over a genus two curve. For polarisations which do not admit an extremal metric we describe the behaviour of a minimising sequence splitting the manifold into pieces. We also show that the Calabi flow starting from a metric with suitable symmetry gives such a minimising sequence.
Cite
@article{arxiv.math/0703562,
title = {The Calabi functional on a ruled surface},
author = {Gábor Székelyhidi},
journal= {arXiv preprint arXiv:math/0703562},
year = {2011}
}
Comments
23 pages, 3 figures