Fixed point free involutions on Riemann surfaces
作者： Hugo Parlier
DOI: 10.1007/S11856-008-1032-Z
关键词: Riemann surface 、 Riemann's differential equation 、 Uniformization theorem 、 Riemann Xi function 、 Riemann sphere 、 Riemann–Hurwitz formula 、 Riemann sum 、 Mathematics 、 Mathematical analysis 、 Pure mathematics 、 Geometric function theory
摘要: In this paper, involutions without fixed points on hyperbolic closed Riemann surface are discussed. For an orientable X of even genus with arbitrary Riemannian metric d admitting involution tau, it is known that min (p element X) d(p, tau(p)) bounded by a constant which depends the area X. The corresponding claim proved to be false in odd genus, and optimal for surfaces calculated 2.
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