Remarks on the Donaldson metric
Symplectic Geometry
2016-01-19 v2 Differential Geometry
Abstract
The Donaldson metric is a metric on the space of symplectic two-forms in a fixed cohomology class. It was introduced in [2]. We compute the associated Levi-Civita connection, describe it's geodesics and compute the formula for the covariant Hessian of an energy functional on the space of symplectic structures in a fixed cohomology class, introduced by S.Donaldson in [1].
Cite
@article{arxiv.1512.09200,
title = {Remarks on the Donaldson metric},
author = {Robin S. Krom},
journal= {arXiv preprint arXiv:1512.09200},
year = {2016}
}