On left-invariant Einstein Riemannian metrics that are not geodesic orbit

DOI10.1007/s00031-018-9476-7zbMath1427.53064arXiv1612.02227OpenAlexW2580229394WikidataQ115389408 ScholiaQ115389408MaRDI QIDQ2313508

Yurii Gennadyevich Nikonorov

Publication date: 19 July 2019

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

Full work available at URL: https://arxiv.org/abs/1612.02227

zbMATH Keywords

homogeneous spacesEinstein manifoldsgeodesic orbit spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (7)

Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds ⋮ Invariant geodesic orbit metrics on certain compact homogeneous spaces ⋮ Homogeneous Einstein metrics and butterflies ⋮ Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces ⋮ Unnamed Item ⋮ On left-invariant Einstein metrics that are not geodesic orbit ⋮ On Randers geodesic orbit spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New Einstein metrics on the Lie group \(\mathrm{SO}(n)\) which are not naturally reductive
• Non-naturally reductive Einstein metrics on the compact simple Lie group \(F_4\)
• Einstein metrics on principal torus bundles
• Einstein metrics on compact Lie groups which are not naturally reductive
• Clifford-Wolf homogeneous Riemannian manifolds
• Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature
• Geometry of homogeneous Riemannian manifolds
• Compact Riemannian manifolds with homogeneous geodesics
• The group of isometries of a left invariant Riemannian metric on a Lie group
• On a transitive transformation group of a compact group manifold
• Compact homogeneous Einstein 6-manifolds.
• Geodesic orbit metrics in compact homogeneous manifolds with equivalent isotropy submodules
• On the structure of geodesic orbit Riemannian spaces
• Geodesic orbit manifolds and Killing fields of constant length
• Non-naturally reductive Einstein metrics on exceptional Lie groups
• Noncompact homogeneous Einstein 5-manifolds
• Einstein Metrics from Symmetry and Bundle Constructions: A Sequel
• Classification of five-dimensional naturally reductive spaces
• EINSTEIN METRICS ON THE SYMPLECTIC GROUP WHICH ARE NOT NATURALLY REDUCTIVE
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• Naturally reductive metrics and Einstein metrics on compact Lie groups
• Homogeneous manifolds whose geodesics are orbits. Recent results and some open problems
• Weakly symmetric Riemannian manifolds with reductive isometry group
• On \(\delta \)-homogeneous Riemannian manifolds
• Compact homogeneous Einstein 7-manifolds
• Isometry groups of homogeneous spaces with positive sectional curvature

This page was built for publication: On left-invariant Einstein Riemannian metrics that are not geodesic orbit