Invariant Einstein metrics on \(\text{SU}(n)\) and complex Stiefel manifolds
DOI10.2748/tmj/1593136818OpenAlexW3037397538MaRDI QIDQ2197890
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
Publication date: 1 September 2020
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.10359
Gröbner basisStiefel manifoldhomogeneous spaceEinstein metricinvariant metricspecial unitary groupisotropy representation
Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Differential geometry of homogeneous manifolds (53C30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
Related Items (2)
Cites Work
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- New Einstein metrics on the Lie group \(\mathrm{SO}(n)\) which are not naturally reductive
- Existence and non-existence of homogeneous Einstein metrics
- Invariant Einstein metrics on certain homogeneous spaces
- New examples of homogeneous Einstein metrics
- New homogeneous Einstein metrics on quaternionic Stiefel manifolds
- Invariant Einstein metrics on generalized Wallach spaces
- Left-invariant Einstein metrics on \(S^3 \times S^3\)
- A variational approach for compact homogeneous Einstein manifolds
- Einstein metrics on principal fibre bundles
- New homogeneous Einstein metrics on Stiefel manifolds
- Homogeneous Einstein metrics and simplicial complexes
- Noncompact homogeneous Einstein 5-manifolds
- Progress on homogeneous Einstein manifolds and some open probrems
- Einstein Metrics from Symmetry and Bundle Constructions: A Sequel
- Invariant Einstein Metrics on Some Homogeneous Spaces of Classical Lie Groups
- Naturally reductive metrics and Einstein metrics on compact Lie groups
- Some Homogeneous Einstein Manifolds
- Compact homogeneous Einstein 7-manifolds
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