CONVEX REAL PROJECTIVE-STRUCTURES ON CLOSED SURFACES ARE CLOSED

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The deformation space c(SIGMA) of convex RP2- structures on a closed surface SIGMA with CHI(SIGMA) < 0 is closed in the space Hom(pi, SL(3, R))/SL(3, R) of equivalence classes of representations pi1(SIGMA) --> SL(3, R). Using this fact, we prove Hitchin's conjecture that the contractible ''Teichmuller component'' (Lie groups and Teichmuller space, preprint) of Hom(pi, SL(3, R))/SL(3, R) precisely equals c(SIGMA).
Publisher
AMER MATHEMATICAL SOC
Issue Date
1993-06
Language
English
Article Type
Article
Citation

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.118, no.2, pp.657 - 661

ISSN
0002-9939
DOI
10.2307/2160352
URI
http://hdl.handle.net/10203/7623
Appears in Collection
MA-Journal Papers(저널논문)
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