Killing vector fields of constant length on Riemannian normal homogeneous spaces

DOI10.1007/s00031-016-9380-yzbMath1381.53089arXiv1412.3177OpenAlexW1771553621WikidataQ115389420 ScholiaQ115389420MaRDI QIDQ326369

Ming Xu, Joseph A. Wolf

Publication date: 12 October 2016

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3177

zbMATH Keywords

symmetric spaceClifford-Killing (CK) vectorClifford-Wolf (CW) isometryRiemannian homogeneous spaceRiemannian normal homogeneous spacesimple compact Lie group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Homogeneous Finsler spaces with only one orbit of prime closed geodesics ⋮ Isoparametric hypersurfaces in a Randers sphere of constant flag curvature ⋮ Towards the classification of odd-dimensional homogeneous reversible Finsler spaces with positive flag curvature ⋮ Killing vector fields of constant length on compact homogeneous Riemannian manifolds ⋮ The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Homogeneity for a class of Riemannian quotient manifolds ⋮ Bounded isometries and homogeneous quotients ⋮ Homogeneous Finsler spaces and the flag-wise positively curved condition ⋮ Spectral properties of Killing vector fields of constant length ⋮ Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields

Cites Work

• Unnamed Item
• Clifford-Wolf homogeneous Riemannian manifolds
• Clifford-Wolf translations of Finsler spaces
• The Clifford-Klein space forms of indefinite metric
• Killing vector fields of constant length on locally symmetric Riemannian manifolds
• Bounded isometries and homogeneous Riemannian quotient manifolds
• Homogeneous manifolds of constant curvature
• Vincent's conjecture on Clifford translations of the sphere
• Locally symmetric homogeneous spaces
• Clifford translations in manifolds without focal points
• Clifford-Wolf translations of homogeneous Randers spheres
• Clifford-Wolf homogeneous Finsler metrics on spheres
• Left invariant Clifford-Wolf homogeneous \(\alpha, \beta)\)-metrics on compact semisimple Lie groups
• Homogeneity and bounded isometries in manifolds of negative curvature
• Clifford-Wolf-Isometrien symmetrischer Räume
• Critical points of the displacement function of an isometry
• Critical points of the length of a Killing vector field
• Les groupes linéaires finis sans points fixes
• Clifford-Wolf homogeneous Randers spaces
• CLIFFORD-WOLF TRANSLATIONS OF LEFT INVARIANT RANDERS METRICS ON COMPACT LIE GROUPS
• Clifford Translations of Symmetric Spaces
• Locally Symmetric Homogeneous Finsler Spaces

This page was built for publication: Killing vector fields of constant length on Riemannian normal homogeneous spaces