Riemannian curvature: variations on different notions of positivity

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dc.creatorLabbi, Mohammed Larbi
dc.date2006-11-13
dc.date.accessioned2026-07-07T07:32:50Z
dc.date.available2026-07-07T07:32:50Z
dc.descriptionWe study different notions of Riemannian curvatures: The $p$-curvatures which interpolate between the scalar curvature and the sectional curvature, the Gauss-Bonnet-Weyl curvatures form another interpolation from the scalar curvature to the Gauss-Bonnet integrand. We bring out the $(p,q)$-curvatures, which incorporate all the previous curvatures. We then examine the curvature term which appears in the classical Weitzenböck formula. We also study the positivity properties of the $p$-curvatures, the second Gauss-Bonnet-Weyl curvature, the Einstein curvature and the isotropic curvature.
dc.descriptionIn french, extracted from habilitation thesis at Montpellier II University (France), 50 pages
dc.identifierhttps://arxiv.org/abs/math/0611371
dc.identifierhttp://arxiv.org/abs/math/0611371
dc.identifierHabilitation thesis, July 2006, Montpellier II University, France
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119250
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C21; 53C25; 53B20, 58A14; 58D17; 58E11
dc.titleRiemannian curvature: variations on different notions of positivity
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