Comparison theory of distance spheres along geodesics
type: Item
instance of: scholarly article
title: Comparison theory of distance spheres along geodesics
zbMATH Open document ID: 1458.53046
author: Reinhard Brocks
published in: Documenta Mathematica
publication date: 2021-01-08T00:00:00Z
review text: In this interesting paper the author proves several new bounds on the Hessian and the Laplacian of the distance function from a point along a geodesic in a complete Riemannian manifold under the assumption of lower bounds on sectional or Ricci curvature and on the conjugate or focal radius. The new bounds give information about the second fundamental form and mean curvature of the geodesic spheres about the point.
reviewed by: James Hebda
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 53B21
zbMATH DE Number: 7291222
zbMATH Keywords: comparison theorems
zbMATH Keywords: Ricci curvature
zbMATH Keywords: distance function
zbMATH Keywords: convexity
zbMATH Keywords: conjugate radius
zbMATH Keywords: focal radius
zbMATH Keywords: Jacobi field
MaRDI profile type: Publication
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DOI: 10.25537/DM.2020V25.2241-2302
description: scientific article; zbMATH DE number 7291222