Invariance of basic Hodge numbers under deformations of Sasakian manifolds
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Publication:2035951
DOI10.1007/s10231-020-01044-8zbMath1469.53064arXiv1908.11107OpenAlexW3092521836MaRDI QIDQ2035951
Publication date: 2 July 2021
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.11107
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Foliations (differential geometric aspects) (53C12)
Related Items (3)
Cohomology of manifolds with structure group \(U(n)\times O(s)\) ⋮ Sasaki structures distinguished by their basic Hodge numbers ⋮ Transverse Kähler holonomy in Sasaki geometry and \(\mathcal{S}\)-stability
Cites Work
- Rigidity and vanishing of basic Dolbeault cohomology of Sasakian manifolds
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- Foliations: dynamics, geometry and topology. Lecture notes of some of the courses, Barcelona, Spain, May 2010
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- Generalized complex geometry
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- Cohomology and Hodge theory on symplectic manifolds. I
- On deformations of complex analytic structures. III: Stability theorems for complex structures
- Hard Lefschetz theorem for Sasakian manifolds
- Geometry of manifolds with structural group \(\mathcal U(n)\times\mathcal O(s)\)
- Deformation of Sasakian metrics
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