Reference : Minimal diffeomorphism between hyperbolic surfaces with cone singularities
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/21784
Minimal diffeomorphism between hyperbolic surfaces with cone singularities
English
Toulisse, Jérémy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
10-Nov-2014
No
[en] minimal surfaces ; cone singularities ; hyperbolic geometry
[en] We prove the existence of a minimal diffeomorphism isotopic to the identity between two hyperbolic cone surfaces (Σ,g1) and (Σ,g2) when the cone angles of g1 and g2 are different and smaller than π. When the cone angles of g1 are strictly smaller than the ones of g2, this minimal diffeomorphism is unique.
http://hdl.handle.net/10993/21784
http://arxiv.org/abs/1411.2656

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