A McShane-type identity for closed surfaces
Abstract.We prove a McShane-type identity: a series, expressed in terms of geodesic lengths, that sums to 2π for any closed hyperbolic surface with one distinguished point. To do so, we prove a generalized Birman-Series theorem showing that the set of complete geodesics on a hyperbolic surface with large cone angles is sparse.
Keyword(s):
Freeze fracture imaging and computer simulation of liposome structure: Membrane geometry and defects
1983 ◽
Vol 41
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pp. 646-647
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1968 ◽
Vol 26
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pp. 222-223
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2011 ◽
Vol 20
(4)
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pp. 121-123