Kahler metric on the space of convex real projective structures on surface

Abstract

We prove that the space of convex real projective structures on a surface of genus $g\ge 2$ admits a mapping class group invariant Kähler metric where Teichmüller space with Weil-Petersson metric is a totally geodesic complex submanifold.

arXiv comment10 pages, to appear in JDG

References in corpus (2)

• Teichmüller Space Is Totally Geodesic In Goldman Space
• Eichler-Shimura isomorphism for complex hyperbolic lattices