Sasakian Geometry, Homotopy Spheres and Positive Ricci Curvature

Simple item page
dc.creatorBoyer, Charles P.
dc.creatorGalicki, Krzysztof
dc.creatorNakamaye, Michael
dc.date2002-01-16
dc.date2002-01-23
dc.date.accessioned2026-07-07T04:45:54Z
dc.date.available2026-07-07T04:45:54Z
dc.descriptionWe discuss the Sasakian geometry of odd dimensional homotopy spheres. In particular, we give a completely new proof of the existence of metrics of positive Ricci curvature on exotic spheres that can be realized as the boundary of a parallelizable manifold. Furthermore, it is shown that on such homotopy spheres $\scriptstyle{Σ^{2n+1}}$ the moduli space of Sasakian structures has infinitely many positive components determined by inequivalent underlying contact structures. We also prove the existence of Sasakian metrics with positive Ricci curvature on each of the known $\scriptstyle{2^{2m}}$ distinct diffeomorphism types of homotopy real projective spaces in dimension $4m+1$.
dc.description22 pages, revised version with some clarifications and added references
dc.identifierhttps://arxiv.org/abs/math/0201147
dc.identifierhttp://arxiv.org/abs/math/0201147
dc.identifierTopology 42 (2003), 981-1002.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63129
dc.subjectDifferential Geometry
dc.subject53C25,57D60
dc.titleSasakian Geometry, Homotopy Spheres and Positive Ricci Curvature
dc.typetext

Files

Collections

arXiv