Kahler metrics whose geodesics are circles
Differential Geometry
2007-05-23 v1 Metric Geometry
Abstract
We classify all Kahler metrics in an open subset of whose real geodesics are circles. All such metrics are equivalent (via complex projective transformations) to Fubini metrics (i.e. to Fubini-Study metric on restricted to an affine chart, to the complex hyperbolic metric in the unit ball model or to the Euclidean metric).
Keywords
Cite
@article{arxiv.math/0112053,
title = {Kahler metrics whose geodesics are circles},
author = {Vladlen Timorin},
journal= {arXiv preprint arXiv:math/0112053},
year = {2007}
}
Comments
10 pages