Space of souls in a complete open manifold of nonnegative curvature

DOI10.4310/jdg/1214445314zbMath0733.53017OpenAlexW1543533266WikidataQ115182050 ScholiaQ115182050MaRDI QIDQ809371

Jin-Whan Yim

Publication date: 1990

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214445314

zbMATH Keywords

convex functiontotally geodesic submanifoldnonnegative curvaturepseudo-soul

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics, Almost nonnegative curvature operator and cohomology rings, A splitting theorem for nonnegatively curved Alexandrov spaces, Nonnegatively curved vector bundles with large normal holonomy groups, Nonnegative curvature and conullity of the curvature tensor, The metric projection onto the soul, \(\Sigma\)-flat manifolds and Riemannian submersions, Splitting theorems for nonnegatively curved open manifolds with large ideal boundary, A Splitting Theorem for Complete Manifolds with Nonnegative Curvature Operator