Rational Homology 5-Spheres with Positive Ricci Curvature

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dc.creatorBoyer, Charles P.
dc.creatorGalicki, Krzysztof
dc.date2002-03-06
dc.date.accessioned2026-07-07T04:46:51Z
dc.date.available2026-07-07T04:46:51Z
dc.descriptionWe prove that for every integer k>1 there is a simply connected rational homology 5-sphere $\scriptstyle{M^5_k}$ with spin such that $\scriptstyle{H_2(M^5_k,\bbz)}$ has order $\scriptstyle{k^2},$ and $\scriptstyle{M^5_k}$ admits a Riemannian metric of positive Ricci curvature. Moreover, if the prime number decomposition of $\scriptstyle{k}$ has the form $\scriptstyle{k=p_1... p_r}$ for distinct primes $\scriptstyle{p_i}$ then $\scriptstyle{M^5_k}$ is uniquely determined.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0203048
dc.identifierhttp://arxiv.org/abs/math/0203048
dc.identifierMathematical Research Letters 9, 521-528 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63498
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject53C25
dc.titleRational Homology 5-Spheres with Positive Ricci Curvature
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