Convexity of spheres in a manifold without conjugate points
type: Item
instance of: scholarly article
title: Convexity of spheres in a manifold without conjugate points
zbMATH Open document ID: 1020.53035
DOI: 10.1007/BF02829692
author: Akhil Ranjan
author: Hemangi Shah
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2003-10-05T00:00:00Z
review text: A sufficient condition for the convexity of the geodesic spheres is established on a complete Riemannian manifold without conjugate points.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 1874186
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: geodesic
zbMATH Keywords: vector bundle
zbMATH Keywords: Stiefel-Whitney classes
zbMATH Keywords: focal set
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
cites work: On surfaces with no conjugate points
cites work: Q4169382
cites work: Q4067705
cites work: A class of nonsymmetric harmonic Riemannian spaces
cites work: Sur les espaces riemanniens complètement harmoniques
cites work: Characteristic Classes. (AM-76)
cites work: Q4371081
cites work: Busemann functions in a harmonic manifold
cites work: The Lichnerowicz conjecture on harmonic manifolds
cites work: A short topological proof for the symmetry of 2 point homogeneous spaces
full work available at URL: https://doi.org/10.1007/bf02829692
OpenAlex ID: W2069105328
description: scientific article; zbMATH DE number 1874186