Alexandrov curvature of Kaehler curves
Differential Geometry
2008-07-22 v2 Metric Geometry
Abstract
We study the intrinsic geometry of a one-dimensional complex space provided with a Kaehler metric in the sense of Grauert. We show that if K is an upper bound for the Gaussian curvature on the regular locus, then the intrinsic metric has curvature at most K in the sense of Alexandrov.
Keywords
Cite
@article{arxiv.0806.1831,
title = {Alexandrov curvature of Kaehler curves},
author = {Alessandro Ghigi},
journal= {arXiv preprint arXiv:0806.1831},
year = {2008}
}
Comments
Added reference to a related result of Mese