Obstructions to positive curvature and symmetry

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dc.creatorDessai, Anand
dc.date2001-04-26
dc.date2002-04-29
dc.date.accessioned2026-07-07T04:41:28Z
dc.date.available2026-07-07T04:41:28Z
dc.descriptionWe show that the indices of certain twisted Dirac operators vanish on a $Spin$-manifold $M$ of positive sectional curvature if the symmetry rank of $M$ is $\geq 2$ or if the symmetry rank is one and $M$ is two connected. We also give examples of simply connected manifolds of positive Ricci curvature which do not admit a metric of positive sectional curvature and positive symmetry rank.
dc.description21 pages, revised version, new title
dc.identifierhttps://arxiv.org/abs/math/0104256
dc.identifierhttp://arxiv.org/abs/math/0104256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61373
dc.subjectDifferential Geometry
dc.subject53C20, 57R20 (Primary) 53C21, 19L47, 53C27 (Secondary)
dc.titleObstructions to positive curvature and symmetry
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