Locally homogeneous aspherical Sasaki manifolds

DOI10.1016/j.difgeo.2020.101607zbMath1441.57034arXiv1906.05049OpenAlexW3009791733WikidataQ115354819 ScholiaQ115354819MaRDI QIDQ2176106

Yoshinobu Kamishima, Oliver Baues

Publication date: 4 May 2020

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05049

zbMATH Keywords

CR-structureaspherical manifoldpseudo-Hermitian structurelocally homogeneous Kähler manifoldlocally homogeneous Sasaki manifold

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30)

Related Items (2)

Unimodular Sasaki and Vaisman Lie groups ⋮ Quaternionic contact \(4n+3\)-manifolds and their \(4n\)-quotients

Cites Work

• Compact homogeneous locally conformally Kähler manifolds
• Principal fibre bundles with the 1-dimensional toroidal group
• On contact manifolds
• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• CR-structures on Seifert manifolds
• Aspherical Kähler manifolds with solvable fundamental group
• The fundamental conjecture for homogeneous Kähler manifolds
• Immersions of Lie groups
• Isometry groups on homogeneous nilmanifolds
• Constructions in Sasakian geometry
• Hyper-Kähler quotients of solvable Lie groups
• A note on compact solvmanifolds with Kähler structures
• Some notes on differentiable manifolds with almost contact structures
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• On the isometry groups of Sasakian manifolds
• On a Riemannian space admitting more than one Sasakian structures
• Compact Clifford-Klein forms of symmetric spaces
• On Kaehlerian Homogeneous Spaces of Unimodular Lie Groups
• Homogeneous locally conformally Kähler and Sasaki manifolds
• Homologie et cohomologie des algèbres de Lie
• Riemannian geometry of contact and symplectic manifolds
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