Rigidity and vanishing of basic Dolbeault cohomology of Sasakian manifolds

DOI10.4310/JSG.2016.v14.n1.a2zbMath1346.53049arXiv1206.2803OpenAlexW2963745473MaRDI QIDQ307993

Dirk Töben, Oliver Goertsches, Hiraku Nozawa

Publication date: 5 September 2016

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2803

zbMATH Keywords

characteristic foliationbasic Hodge numbersCR vector field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (8)

Cohomology of manifolds with structure group \(U(n)\times O(s)\) ⋮ Sasaki structures distinguished by their basic Hodge numbers ⋮ Contact structures of Sasaki type and their associated moduli ⋮ Basic Dolbeault cohomology and Weitzenböck formulas on transversely Kähler foliations ⋮ The mean curvature of transverse Kähler foliations ⋮ Invariance of basic Hodge numbers under deformations of Sasakian manifolds ⋮ Transverse Kähler holonomy in Sasaki geometry and \(\mathcal{S}\)-stability ⋮ Linear instability of Sasaki Einstein and nearly parallel G2 manifolds

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