Killing vectors on contact Riemannian manifolds and fiberings related to the Hopf fibrations
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This article is published in Tohoku Mathematical Journal.The article was published on 1971-01-01 and is currently open access. It has received 31 citations till now. The article focuses on the topics: Riemannian submersion & Riemannian geometry.read more
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The geometry and topology of 3-Sasakian manifolds.
TL;DR: In this paper, the geometry and topology of a class of Riemannian Einstein manifolds that is closely related to both hyperkähler and quaternionic Kahler manifolds are described.
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Some differential equations on Riemannian manifolds
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Quaternionic reduction and Einstein manifolds
TL;DR: A quaternionic Kahler manifold (M,g) is a Riemannian manifold of dimension 4n, where n > 1, whose reduced holonomy group is a subgroup of Sp(n)-Sp(l) as mentioned in this paper.
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Betti numbers of 3-Sasakian manifolds
Krzysztof Galicki,Simon Salamon +1 more
TL;DR: A vanishing theorem and constraints for the Betti numbers of compact 3-Sasakian manifolds are given in this paper, where a vanishing theorem is also given for the case of compact 2-SASAKIAN manifolds.
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Book
The Topology of Fibre Bundles.
TL;DR: In this paper, a succint introduction to fiber bundles is provided, which includes such topics as differentiable manifolds and covering spaces, and a brief survey of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles.