Half plane geometries
Differential Geometry
2023-03-30 v4
Abstract
In this paper, we endow the right half plane with warped product metrics. The group of holomorphic isometries of all such metrics is isomorphic to the real additive group. Of our interest are two of those metrics: they have zero and unbounded negative sectional curvature, respectively, and both of them are not complete.
Cite
@article{arxiv.2111.07569,
title = {Half plane geometries},
author = {Ioannis D. Platis and Li-Jie Sun},
journal= {arXiv preprint arXiv:2111.07569},
year = {2023}
}
Comments
Completely rewritten paper. Several errors have been corrected