Deformations of Sasakian structures and its application to the Brieskorn manifolds

DOI10.2748/tmj/1178230095zbMath0392.53025OpenAlexW2005057011MaRDI QIDQ1251817

Takao Takahashi

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178230095

zbMATH Keywords

Brieskorn ManifoldsDeformation of Sasakian ManifoldsSasakian Structures

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Brieskorn manifolds, positive Sasakian geometry, and contact topology, On \(\eta\)-Einstein Sasakian geometry, Eigenvalue estimates for Dirac operators in geometries with torsion, Maximal tori in contactomorphism groups, Localization of Chern-Simons type invariants of Riemannian foliations, Levi-Civita Ricci-flat metrics on non-Kähler Calabi-Yau manifolds, Contact structures of Sasaki type and their associated moduli, Sasaki-Einstein 7-manifolds and Orlik's conjecture, Simply connected Sasaki-Einstein 5-manifolds: old and new, Lorentzian Sasaki-Einstein metrics on connected sums of \(S^{2} \times S^{3}\), A construction of \(K\)-contact manifolds by a fiber join, Theorems of Barth-Lefschetz type in Sasakian geometry, Equivariant cohomology of \(K\)-contact manifolds, Steady Euler flows and the Faddeev-Skyrme model with mass term, \(K\)-cosymplectic manifolds, Simply connected Sasaki-Einstein rational homology 5-spheres, Sasakian geometry on sphere bundles

Cites Work

• Unnamed Item
• On a property of Brieskorn manifolds
• On a generalization of the Hopf fibration. I
• On contact metric immersion