Convex real projective structures and Weil's local rigidity theorem

作者：Kim Inkang^*; Zhang Genkai

来源：Journal de Mathematiques Pures et Appliquees, 2018, 116: 40-51.

DOI：10.1016/j.matpur.2018.06.001

• Zariski tangent space
• Real projective structure
• Weil's local rigidity

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.

• 出版日期2018-8