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Lecture Note
35/2007

Equivariant Plateau problems

Graham Smith

Abstract

We provide an overview of the author's recent paper, ``Equivariant Plateau problems'', where sufficient algebraic conditions are obtained for the existence of a realisition by a convex immersion of a homomorphism from a Fuchsian group into the fundamental group of a three dimensional compact manifold of strictly negative curvature.

Received:
Sep 4, 2007
Published:
Sep 4, 2007
MSC Codes:
57M50, 30F10, 30F40, 32G15
Keywords:
Kleinian groups, Fuchsian groups, plateau problem, complex projective structures, immersions