Metrics of positive Ricci curvature on quotient spaces

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dc.creatorSchwachhoefer, Lorenz
dc.creatorTuschmann, Wilderich
dc.date2003-03-07
dc.date.accessioned2026-07-07T04:55:52Z
dc.date.available2026-07-07T04:55:52Z
dc.descriptionWe show that any closed biquotient with finite fundamental group admits metrics of positive Ricci curvature. Also, let M be a closed manifold on which a compact Lie group G acts with cohomogeneity one, and let L be a closed subgroup of G which acts freely on M. We show that the quotient N := M/L carries metrics of nonnegative Ricci and almost nonnegative sectional curvature. Moreover, if N has finite fundamental group, then N admits also metrics of positive Ricci curvature. Particular examples include infinite families of simply connected manifolds with the rational cohomology rings and integral homology of complex and quaternionic projective spaces.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0303092
dc.identifierhttp://arxiv.org/abs/math/0303092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66727
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleMetrics of positive Ricci curvature on quotient spaces
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