Remark about scalar curvature and Riemannian submersions

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dc.creatorLott, John
dc.date2005-04-20
dc.date2006-06-23
dc.date.accessioned2026-07-07T06:39:49Z
dc.date.available2026-07-07T06:39:49Z
dc.descriptionWe consider modified scalar curvature functions for Riemannian manifolds equipped with smooth measures. Given a Riemannian submersion whose fiber transport is measure-preserving up to constants, we show that the modified scalar curvature of the base is bounded below in terms of the scalar curvatures of the total space and fibers. We give an application concerning the scalar curvature of a smooth limit space arising in a bounded curvature collapse.
dc.descriptionfinal version
dc.identifierhttps://arxiv.org/abs/math/0504421
dc.identifierhttp://arxiv.org/abs/math/0504421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101222
dc.subjectDifferential Geometry
dc.titleRemark about scalar curvature and Riemannian submersions
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