A construction of \(K\)-contact manifolds by a fiber join

DOI10.2748/tmj/1178224713zbMath0982.53071OpenAlexW2053417786MaRDI QIDQ1976492

Tsutomu Yamazaki

Publication date: 26 October 2000

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

Full work available at URL: https://doi.org/10.2748/tmj/1178224713

zbMATH Keywords

toruscontact flowscontact transformations\(K\)-contact manifoldsfiber join

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Dynamics induced by flows and semiflows (37C10) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) Contact systems (37J55)

Related Items

Homotopy groups of 𝐾-contact toric manifolds, Reducibility in Sasakian geometry, Localization of Chern-Simons type invariants of Riemannian foliations, Contact structures of Sasaki type and their associated moduli, Constant scalar curvature Sasaki metrics and projective bundles, Existence and non-existence of constant scalar curvature and extremal Sasaki metrics, Contact flows and integrable systems, Constructions in Sasakian geometry, Deformation of Sasakian metrics, A note on contact metric manifolds, Equivariant cohomology of \(K\)-contact manifolds, Contact fiber bundles, \(K\)-cosymplectic manifolds, Sasakian geometry on sphere bundles, Transverse Kähler holonomy in Sasaki geometry and \(\mathcal{S}\)-stability

Cites Work

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• Principal fibre bundles with the 1-dimensional toroidal group
• On contact manifolds
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Contact manifolds in Riemannian geometry
• Deformations of Sasakian structures and its application to the Brieskorn manifolds
• Transformation groups in differential geometry.
• The dimension of leaf closures of K-contact flows
• Vectorial sectional curvature and K-contactness