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Kahler metric on the space of convex real projective structures on surface (1312.1965v3)
Published 6 Dec 2013 in math.GT, math.AG, and math.RT
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 K\"ahler metric where Teichm\"uller space with Weil-Petersson metric is a totally geodesic complex submanifold.