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

preprint2016arXivOpen access

Abstract

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

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