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Published in:
2017 | OriginalPaper | Chapter
Teichmüller Theory for Conic Surfaces
Authors : Rafe Mazzeo, Hartmut Weiss
Published in: Geometry, Analysis and Probability
Publisher: Springer International Publishing
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This paper develops the local deformation theory, and some aspects of the global Teichmüller theory, of constant curvature metrics on a surface Σ with a finite number of conic singularities, with all cone angles less than 2π. We approach this using techniques of geometric analysis and the theory of elliptic operators on conic spaces.