Killing vectors on contact Riemannian manifolds and fiberings related to the Hopf fibration

DOI10.2748/tmj/1178242648zbMath0232.53026OpenAlexW1990668022WikidataQ115227144 ScholiaQ115227144MaRDI QIDQ2550924

Shukichi Tanno

Publication date: 1971

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

Full work available at URL: https://doi.org/10.2748/tmj/1178242648

Mathematics Subject Classification ID

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

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Three-dimensional Lie group actions on compact (4\(n\)+3)-dimensional geometric manifolds, Remarks on a triple of \(K\)-contact structures, Quaternionic and para-quaternionic CR structure on \((4n+3)\)-dimensional manifolds, Fibred Riemannian space with triple of Killing vectors, Almost coquaternion metric structures on $3$-dimensional manifolds, On manifolds with Sasakian $3$-structure over quaternion Kaehler manifolds, Locally conformal Kähler structures in quaternionic geometry, A Bonnet-Myers type theorem for quaternionic contact structures, Pseudo-conformal quaternionic \(CR\) structure on \((4n+3)\)-dimensional manifolds, On Riemannian manifolds with Sasakian $3$-structure of constant horizontal sectional curvature, On a structure similar to Sasakian 3-structure, Structures on differentiable manifolds, Some system of differential equations on Riemannian manifolds and its applications to contact structures, Normality of almost contact 3-structure, The contact structures on \(\{SU(n + 1) \times R/SU(n) \times R\}_\alpha\) and \(\{Sp(n) \times SU(2)/Sp(n - 1) \times SU(2)\}_\alpha\) of Berger, SUB-RIEMANNIAN RICCI CURVATURES AND UNIVERSAL DIAMETER BOUNDS FOR 3-SASAKIAN MANIFOLDS, Codimension reduction for real submanifolds of quaternionic hyperbolic spaces

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