A comparison-estimate of the second Rauch type for Ricci curvature

DOI10.1007/s10711-006-9121-9zbMath1118.53019OpenAlexW2133827831MaRDI QIDQ884778

Sen-Lin Xu, Zisheng Hu

Publication date: 7 June 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-006-9121-9

zbMATH Keywords

Ricci curvatureJacobi fieldlocal splittinggeodesic hypersurface

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Comparison theory of distance spheres along geodesics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A warped product splitting theorem
• \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below
• Negative Ricci curvature and isometry group
• A comparison-estimate of Toponogov type for Ricci curvature
• The splitting theorem for manifolds of nonnegative Ricci curvature
• An extension of Rauch's metric comparison theorem and some applications
• A contribution to differential geometry in the large
• Local Splitting Theorems for Riemannian Manifolds
• Extension of the Rauch Comparison Theorem to Submanifolds

This page was built for publication: A comparison-estimate of the second Rauch type for Ricci curvature