On the degree of geodesic mobility for Riemannian metrics
type: Item
instance of: scholarly article
title: On the degree of geodesic mobility for Riemannian metrics
zbMATH Open document ID: 1200.53044
DOI: 10.1134/S0001434610030375
author: Josef Mikeš
author: V. Kiosak
author: Vladimir S. Matveev
author: Igor G. Shandra
published in: Mathematical Notes
publication date: 2010-09-24T00:00:00Z
review text: The main result of \textit{I. G. Shandra} [Math. Notes 68, No.~4, 528--532 (2000; Zbl 1020.53023)] which gives the degree of geodesic mobility of a Riemannian manifold in terms of the number of concircular vector fields is slightly corrected.
reviewed by: Radu Miron
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53B20
zbMATH DE Number: 5791088
zbMATH Keywords: degree of geodesic mobility
zbMATH Keywords: Riemannian metric
zbMATH Keywords: geodesically equivalent metrics
zbMATH Keywords: concircular covector field
zbMATH Keywords: space of nonconstant curvature
zbMATH Keywords: Ricci tensor
zbMATH Keywords: Weyl curvature
Wikidata QID: Q115253974
MaRDI profile type: Publication
cites work: Q3776971
cites work: Trajectory equivalence and corresponding integrals
cites work: Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid
cites work: Integrability criterion of geodesical equivalence: hierarchies
cites work: Proof of the projective Lichnerowicz-Obata conjecture
full work available at URL: s0001434610030375
OpenAlex ID: W2056873121
description: scientific article; zbMATH DE number 5791088