Concavity and rigidity in non-negative curvature

DOI10.4310/jdg/1405447808zbMath1300.53039arXiv1012.2265OpenAlexW2963336256WikidataQ115168671 ScholiaQ115168671MaRDI QIDQ2509569

Luigi Verdiani, Wolfgang Ziller

Publication date: 28 July 2014

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

Full work available at URL: https://arxiv.org/abs/1012.2265

zbMATH Keywords

Jacobi fieldscohomogeneity-one manifoldsconcavity propertyKonishi bundlespositive self-dual

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Related Items (13)

Smoothness conditions in cohomogeneity one manifolds ⋮ Comparison theory of distance spheres along geodesics ⋮ Soft restrictions on positively curved Riemannian submersions ⋮ Polar manifolds and actions ⋮ Infinite families of manifolds of positive \(k\)th-intermediate Ricci curvature with \(k\) small ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ On Riemannian foliations over positively curved manifolds ⋮ On Jacobi field splitting theorems ⋮ Fundamental groups of manifolds with positive sectional curvature and torus symmetry ⋮ Seven dimensional cohomogeneity one manifolds with nonnegative curvature ⋮ Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds ⋮ An exotic \({T_{1}\mathbb{S}^4}\) with positive curvature ⋮ Polar foliations on symmetric spaces and mean curvature flow

This page was built for publication: Concavity and rigidity in non-negative curvature