Non-naturally reductive Einstein metrics on the compact simple Lie group \(F_4\)

DOI10.1007/s10455-014-9413-5zbMath1301.53042arXiv1311.5288OpenAlexW2143097197WikidataQ115384579 ScholiaQ115384579MaRDI QIDQ403621

Zhiqi Chen, Ke Liang

Publication date: 29 August 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5288

zbMATH Keywords

homogeneous spaceinvolutionnaturally reductive metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (17)

Invariant Einstein metrics on certain compact semisimple Lie groups ⋮ New non-naturally reductive Einstein metrics on \(\mathrm{Sp}(n)\) ⋮ New Einstein metrics on ${\rm Sp}(n)$ which are non-naturally reductive ⋮ Non-naturally reductive Einstein metrics on \(\mathrm{Sp}(n)\) ⋮ Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds ⋮ Einstein metrics on compact simple Lie groups attached to standard triples ⋮ Compact simple Lie groups admitting left-invariant Einstein metrics that are not geodesic orbit ⋮ Einstein metrics and Einstein–Randers metrics on a class of homogeneous manifolds ⋮ Unnamed Item ⋮ New non-naturally reductive Einstein metrics on exceptional simple Lie groups ⋮ Non-naturally reductive Einstein metrics on \(\mathrm {SO}(n)\) ⋮ New non-naturally reductive Einstein metrics on SO(n) ⋮ Classification of invariant Einstein metrics on certain compact homogeneous spaces ⋮ On left-invariant Einstein Riemannian metrics that are not geodesic orbit ⋮ On left-invariant Einstein metrics that are not geodesic orbit ⋮ New Einstein metrics on \(E_7\) ⋮ Non-naturally reductive Einstein metrics on normal homogeneous Einstein manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Homogeneous Einstein metrics on \(SU(n)\)
• Einstein solvmanifolds are standard
• Einstein metrics on group manifolds and cosets
• Einstein metrics on compact Lie groups which are not naturally reductive
• Geometry of homogeneous Riemannian manifolds
• Existence and non-existence of homogeneous Einstein metrics
• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Noncompact homogeneous Einstein spaces
• A variational approach for compact homogeneous Einstein manifolds
• Einstein metrics on principal fibre bundles
• Homogeneous Einstein metrics and simplicial complexes
• Les espaces symétriques noncompacts
• Double Vogan diagrams and semisimple symmetric spaces
• Naturally reductive metrics and Einstein metrics on compact Lie groups
• Some Homogeneous Einstein Manifolds
• Low-dimensional homogeneous Einstein manifolds

This page was built for publication: Non-naturally reductive Einstein metrics on the compact simple Lie group \(F_4\)