Fixed point free involutions on Riemann surfaces

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dc.creatorParlier, Hugo
dc.date2005-04-06
dc.date2005-07-09
dc.date.accessioned2026-07-07T05:18:51Z
dc.date.available2026-07-07T05:18:51Z
dc.descriptionInvolutions without fixed points on hyperbolic closed Riemann surface are discussed. For an orientable surface $X$ of even genus with an arbitrary Riemannian metric $d$ admitting an involution $τ$, it is known that $\min_{p\in X}d(p,τ(p))$ is bounded by a constant which depends on the genus of $X$. The equivalent result is proved to be false in odd genus, and the optimal constant for hyperbolic Riemann surfaces is calculated in genus 2.
dc.description12 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0504109
dc.identifierhttp://arxiv.org/abs/math/0504109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74810
dc.subjectDifferential Geometry
dc.subject30F45; 30F20, 53C23
dc.titleFixed point free involutions on Riemann surfaces
dc.typetext

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