The smoothness of Riemannian submersions with nonnegative sectional curvature

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dc.creatorCao, Jianguo
dc.creatorShaw, Mei-Chi
dc.date2003-09-19
dc.date2003-09-26
dc.date.accessioned2026-07-07T05:01:18Z
dc.date.available2026-07-07T05:01:18Z
dc.descriptionLet $M^n$ be a complete, non-compact and $C^\infty$-smooth Riemannian manifold with nonnegative sectional curvature. Suppose $\Cal S$ is a soul of $M^n$. Then any distance non-increasing retraction $Ψ: M^n \to \Cal S$ must give rise to a $C^\infty$-smooth Riemannian submersion.
dc.identifierhttps://arxiv.org/abs/math/0309328
dc.identifierhttp://arxiv.org/abs/math/0309328
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68623
dc.subjectDifferential Geometry
dc.subject53C10
dc.titleThe smoothness of Riemannian submersions with nonnegative sectional curvature
dc.typetext

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