Convex real projective structures and Weil's local rigidity theorem
Artikel i vetenskaplig tidskrift, 2018

For an n-dimensional real hyperbolic manifold M, we calculate the Zariski tangent space of a character variety χ(π1(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.

Weil's local rigidity

Zariski tangent space

Real projective structure

Författare

Inkang Kim

Korea Institute for Advanced Study

Genkai Zhang

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Journal des Mathematiques Pures et Appliquees

0021-7824 (ISSN)

Vol. 116 40-51

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1016/j.matpur.2018.06.001

Mer information

Senast uppdaterat

2018-09-19