Noncompact Riemannian spaces with the holonomy group spin\((7)\) and 3-Sasakian manifolds

DOI10.1134/S0081543808040020zbMath1179.53057OpenAlexW2075486083WikidataQ115248066 ScholiaQ115248066MaRDI QIDQ735616

Yaroslav V. Bazaikin

Publication date: 23 October 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808040020

zbMATH Keywords

3-Sasakian spacesholonomy group \(\text{Spin}(7)\)non-compact Riemannian spaces

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Issues of holonomy in differential geometry (53C29) (G)-structures (53C10)

Related Items

Geometric transitions with Spin(7) holonomy via a dynamical system, Complete Riemannian metrics with holonomy group \(G_2\) on deformations of cones over \(S^3\times S^3\), Linear perturbations of metrics with holonomy Spin(7), On new explicit Riemannian \(SU(2(n + 1))\)-holonomy metrics, Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds, Spin(7) metrics of cohomogeneity one with Aloff-Wallach spaces as principal orbits

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