Einstein Lie groups, geodesic orbit manifolds and regular Lie subgroups
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Publication:6634052
DOI10.1142/s0219199723500682MaRDI QIDQ6634052
Publication date: 6 November 2024
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
geodesic orbit manifoldsnaturally reductive manifoldsgeodesic orbit metricsEinstein Lie groupsregular Lie subgroups
Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
Cites Work
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- 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 \(F_4\)
- Regular subalgebras and nilpotent orbits of real graded Lie algebras
- Two-step homogeneous geodesics in homogeneous spaces
- Einstein metrics on compact Lie groups which are not naturally reductive
- Correction to: The geometry and structure of isotropy irreducible homogeneous spaces
- On isotropy irreducible Riemannian manifolds
- Compact Riemannian manifolds with homogeneous geodesics
- The group of isometries of a left invariant Riemannian metric on a Lie group
- Geodesic orbit metrics in compact homogeneous manifolds with equivalent isotropy submodules
- Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds
- On the structure of geodesic orbit Riemannian spaces
- Compact simple Lie groups admitting left-invariant Einstein metrics that are not geodesic orbit
- New non-naturally reductive Einstein metrics on exceptional simple Lie groups
- Non-naturally reductive Einstein metrics on \(\mathrm {SO}(n)\)
- Geodesic orbit spaces of compact Lie groups of rank two
- New non-naturally reductive Einstein metrics on \(\mathrm{Sp}(n)\)
- Non-naturally reductive Einstein metrics on \(\mathrm{Sp}(n)\)
- 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 \(E_7\)
- Geodesic orbit Riemannian spaces with two isotropy summands. I
- Non-naturally reductive Einstein metrics on exceptional Lie groups
- Two-step homogeneous geodesics in pseudo-Riemannian manifolds
- Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds
- INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS
- Studies on Riemannian Homogeneous Spaces
- ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II
- Compact Lie Groups
- Riemannian flag manifolds with homogeneous geodesics
- EINSTEIN METRICS ON THE SYMPLECTIC GROUP WHICH ARE NOT NATURALLY REDUCTIVE
- On the Geometry of Groups of Heisenberg Type
- Naturally reductive metrics and Einstein metrics on compact Lie groups
- New non-naturally reductive Einstein metrics on SO(n)
- Riemannian Manifolds and Homogeneous Geodesics
- Einstein metrics on compact simple Lie groups attached to standard triples
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