Lecture note 35/2007
Equivariant Plateau problems
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Submission date: 04. Sep. 2007
published in: Geometric and functional analysis, 140 (2009) 1, p. 95-135
DOI number (of the published article): 10.1007/s10711-008-9310-9
MSC-Numbers: 57M50, 30F10, 30F40, 32G15
Keywords and phrases: Kleinian groups, Fuchsian groups, plateau problem, complex projective structures, immersions
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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.