Continued fractions and Einstein manifolds of infinite topological type

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dc.creatorCalderbank, David M. J.
dc.creatorSinger, Michael A.
dc.date2005-08-30
dc.date.accessioned2026-07-07T05:22:47Z
dc.date.available2026-07-07T05:22:47Z
dc.descriptionWe present a construction of complete self-dual Einstein metrics of negative scalar curvature on an uncountable family of manifolds of infinite topological type, which are enumerated by continued fraction expansions of irrational numbers. These manifolds may be regarded as limits of the resolutions of cyclic quotient singularities (governed by continued fraction expansions of rational numbers) on which we constructed complete self-dual Einstein metrics in previous work.
dc.description16 pages; 1 figure
dc.identifierhttps://arxiv.org/abs/math/0508614
dc.identifierhttp://arxiv.org/abs/math/0508614
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76200
dc.subjectDifferential Geometry
dc.subject53C25; 58J60
dc.titleContinued fractions and Einstein manifolds of infinite topological type
dc.typetext

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