Semisymmetric and semiparallel geodesic spheres and tubes
type: Item
instance of: scholarly article
title: Semisymmetric and semiparallel geodesic spheres and tubes
zbMATH Open document ID: 0866.53037
author: Yanyan Li
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1997-07-20T00:00:00Z
review text: The authors prove that a connected Riemannian manifold of dimension \(n\) is a real space form if and only if all sufficiently small geodesic spheres or all tubes with sufficiently small radius about all geodesics are semi-parallel for \(n\geq 3\) or Ricci-semi-symmetric for \(n\geq 4\). Several applications are given.
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 941313
zbMATH Keywords: tube about geodesics
zbMATH Keywords: geodesic sphere
zbMATH Keywords: semi-symmetric
zbMATH Keywords: semi-parallel
reviewed by: Bang-Yen Chen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 941313