Complex Projective Structures
By David Dumas. 2009
119 citations recorded by the source corpus.
In this section we consider complex projective structures on Riemann surfaces. These structures provide a generalization of Kleinian groups, and they will be useful in our discussion of the geometric convergence in section 8.17. Here we will give only a general introduction to the theory of complex projective structures. For details and recent developments, see [Hej75], [KT92], [Ka95b], [GKMar], [Gol87b], [Tan97a], [Tan97b], [McM98].
Subfields: Applied Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/7e362be0f486b915be66df852d69e3da93c8eb77
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In Applied Mathematics
In Discrete Mathematics and Combinatorics
In Geometry and Topology
Citations in the corpus
- The renormalized volume and the volume of the convex core of quasifuchsian manifolds (2011, methodology): “We can then define two holomorphic quadratic differentials q− = σ− − σ −, q+ = σ+ − σ + , where the minus sign refers to the comparison of two complex projective structures on a given Riemann surface using the Schwarzian derivative; see [5].”