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NUMBER  
AUTHOR Kim, Inkang
TITLE Convex real projective structures and Weil's local rigidity theorem
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JOURNAL JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2018
ABSTRACT For an n-dimensional real hyperbolic manifold M, we calculate the Zariski tangent space of a character variety chi(pi(1)(M), SL(n +1, R), n > 2 at Fuchsian locus to show that the tangent space consists of cubic forms. Furthermore we prove the Weil's local rigidity theorem for uniform hyperbolic lattices using real projective structures. (C) 2018 Elsevier Masson SAS. All rights reserved.
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