THE SMOOTHNESS OF RIEMANNIAN SUBMERSIONS WITH NON-NEGATIVE SECTIONAL CURVATURE

DOI10.1142/S0219199705001672zbMath1070.53014arXivmath/0309328OpenAlexW2098810391WikidataQ115245766 ScholiaQ115245766MaRDI QIDQ4675928

Jianguo Cao, Mei-Chi Shaw

Publication date: 6 May 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309328

zbMATH Keywords

nonnegative sectional curvaturesmooth submersionCheeger-Gromoll soul theoryPerelman's solution

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (2)

The soul conjecture in Alexandrov geometry in dimension 4 ⋮ Nonnegatively curved Alexandrov spaces with souls of codimension two

Cites Work

• Distance nonincreasing retraction on a complete open manifold of nonnegative sectional curvature
• On the structure of complete manifolds of nonnegative curvature
• On the metric structure of open manifolds with nonnegative curvature

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