Bounded Riemannian submersions

DOI10.1512/IUMJ.2000.49.1705zbMath1014.53019OpenAlexW2086075496WikidataQ115237118 ScholiaQ115237118MaRDI QIDQ4761508

Kristopher Tapp

Publication date: 29 June 2003

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ad4669dd09cf5cf34261e9f84a40a5326a74f610

zbMATH Keywords

Riemannian submersionholonomynonnegative curvatureideal boundarysoulfiniteness theorems

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Issues of holonomy in differential geometry (53C29) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Stability of almost submetries ⋮ A parametrized compactness theorem under bounded Ricci curvature ⋮ On Riemannian foliations over positively curved manifolds ⋮ A characterization of codimension one collapse under bounded curvature and diameter ⋮ Stability of \(e^\epsilon\)-Lipschitz and co-Lipschitz maps in Gromov-Hausdorff topology ⋮ Finiteness theorems for submersions and souls ⋮ Holonomic Spaces

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