Randers manifolds of positive constant curvature
type: Item
instance of: scholarly article
title: Randers manifolds of positive constant curvature
zbMATH Open document ID: 1031.53104
DOI: 10.1155/S0161171203111301
author: Hani Reda Farran
author: Aurel Bejancu
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50586
review text: The authors prove that the dimension of a Randers manifold of constant flag curvature must be odd. One only needs the additional condition of Bao and Robles that a certain one-form vanishes. The development is based on a remarkable relationship of this type of manifold with Sasakian space forms.
reviewed by: Ralph G. Beil
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 1930018
zbMATH Keywords: Finsler geometry
zbMATH Keywords: flag curvature
zbMATH Keywords: Randers metric
zbMATH Keywords: Sasakian space form
MaRDI profile type: Publication
OpenAlex ID: W2171963935
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description: scientific article; zbMATH DE number 1930018