A new renormalized volume type invariant
Differential Geometry
2025-01-01 v2 Complex Variables
Abstract
In this paper, we define a new conformal invariant on complete non-compact hyperbolic surfaces that can be conformally compactified to bounded domains in . We study and compute this invariant up to one-connected surfaces. Our results give a new geometric criterion for choosing canonical representations of bounded domains in .
Cite
@article{arxiv.2309.12268,
title = {A new renormalized volume type invariant},
author = {Jinyang Wu},
journal= {arXiv preprint arXiv:2309.12268},
year = {2025}
}
Comments
Accepted by Pacific Journal of Mathematics