Quaternionic Kähler and \(\mathrm{Spin}(7)\) metrics arising from quaternionic contact Einstein structures
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Publication:2436020
DOI10.1007/s10231-012-0276-8zbMath1290.53054arXiv1009.2745OpenAlexW2063242368MaRDI QIDQ2436020
Stefan Ivanov, Dimiter Vassilev, Luis Ugarte, Luis C. de Andrés, José A. Santisteban, Marisa Fernández
Publication date: 21 February 2014
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.2745
Einstein metricsquaternionic contact structuresqc conformal curvatureqc conformal flatnessquaternionic Kähler structures and \(\mathrm{Spin}(7)\)-holonomy metrics
Related Items (7)
On conformal qc geometry, spherical qc manifolds and convex cocompact subgroups of \(\mathrm{Sp}{(n+1,1)}\) ⋮ \({\mathrm {SU}}(4)\)-holonomy via the left-invariant hypo and Hitchin flow ⋮ Einstein metrics on bundles over Hyperkähler manifolds ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ Almost CR quaternionic manifolds and their immersibility in \(\mathbb{H}\mathrm{P}^n\). ⋮ Conformal quaternionic contact curvature and the local sphere theorem ⋮ The topology of quaternionic contact manifolds
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