Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields

DOI10.1007/978-3-030-49763-7_12zbMath1483.53057OpenAlexW3119615841MaRDI QIDQ5013603

Yurii Gennadyevich Nikonorov

Publication date: 2 December 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_12

zbMATH Keywords

geodesic orbit spaceKilling vector field of constant lengthhomogeneous Riemannian spacebounded Killing vector fields

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Cites Work

• Killing vector fields of constant length on Riemannian normal homogeneous spaces
• Toward a classification of Killing vector fields of constant length on pseudo-Riemannian normal homogeneous spaces
• A new construction of naturally reductive spaces
• Clifford-Wolf homogeneous Riemannian manifolds
• Killing vector fields of constant length on compact homogeneous Riemannian manifolds
• Killing vector fields of constant length on locally symmetric Riemannian manifolds
• Compact Riemannian manifolds with homogeneous geodesics
• Weakly symmetric spaces and spherical varieties
• Riemannian g. o. spaces fibered over irreducible symmetric spaces
• Geodesic orbit Riemannian structures on \(\mathbf{R}^n\)
• On the structure of geodesic orbit Riemannian spaces
• On invariant Riemannian metrics on Ledger-Obata spaces
• On homogeneous geodesics and weakly symmetric spaces
• Geodesic orbit manifolds and Killing fields of constant length
• Spectral properties of Killing vector fields of constant length
• Geodesic orbit Riemannian spaces with two isotropy summands. I
• Homogeneity and bounded isometries in manifolds of negative curvature
• Automorphismes à deplacement borne des groupes de Lie
• Generalized normal homogeneous Riemannian metrics on spheres and projective spaces
• Structure and Geometry of Lie Groups
• Riemannian flag manifolds with homogeneous geodesics
• Homogeneous geodesics and g.o. manifolds
• Homogeneous manifolds whose geodesics are orbits. Recent results and some open problems
• Weakly symmetric Riemannian manifolds with reductive isometry group
• Completely Reducible Lie Algebras of Linear Transformations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields