Abstract
We prove that the space of convex real projective structures on a surface of genus $g \geq 2$ admits a mapping class group invariant Kähler metric where Teichmüller space with Weil–Petersson metric is a totally geodesic complex submanifold.
Funding Statement
Research partially supported by STINT-NRF grant (2011-0031291). Research by G.
Zhang is supported partially by the Swedish Science Council (VR). I. Kim
gratefully acknowledges the partial support of grant (NRF-2017R1A2A2A05001002)
and a warm support of Chalmers University of Technology during his stay.
Citation
Inkang Kim. Genkai Zhang. "Kähler metric on the space of convex real projective structures on surface." J. Differential Geom. 106 (1) 127 - 137, April 2017. https://doi.org/10.4310/jdg/1493172095
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