Kahler metric on the space of convex real projective structures on surface
Geometric Topology
2016-06-06 v3 Algebraic Geometry
Representation Theory
Abstract
We prove that the space of convex real projective structures on a surface of genus admits a mapping class group invariant K\"ahler metric where Teichm\"uller space with Weil-Petersson metric is a totally geodesic complex submanifold.
Keywords
Cite
@article{arxiv.1312.1965,
title = {Kahler metric on the space of convex real projective structures on surface},
author = {Inkang Kim and Genkai Zhang},
journal= {arXiv preprint arXiv:1312.1965},
year = {2016}
}
Comments
10 pages, to appear in JDG