Conformal quaternionic contact curvature and the local sphere theorem
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Publication:963014
DOI10.1016/j.matpur.2009.11.002zbMath1194.53044arXiv0707.1289OpenAlexW2056055123WikidataQ125895329 ScholiaQ125895329MaRDI QIDQ963014
Stefan Ivanov, Dimiter Vassilev
Publication date: 8 April 2010
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.1289
Related Items (19)
On conformal qc geometry, spherical qc manifolds and convex cocompact subgroups of \(\mathrm{Sp}{(n+1,1)}\) ⋮ Conformal paracontact curvature and the local flatness theorem ⋮ The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven ⋮ Convexity of the entropy of positive solutions to the heat equation on quaternionic contact and CR manifolds ⋮ A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold ⋮ Weyl connections and the local sphere theorem for quaternionic contact structures ⋮ The almost Schur lemma in quaternionic contact geometry ⋮ Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group ⋮ Quaternionic Kähler and \(\mathrm{Spin}(7)\) metrics arising from quaternionic contact Einstein structures ⋮ The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold ⋮ A Bonnet-Myers type theorem for quaternionic contact structures ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ Quaternionic contact hypersurfaces in hyper-Kähler manifolds ⋮ On the equivalence of quaternionic contact structures ⋮ The topology of quaternionic contact manifolds ⋮ Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem ⋮ The qc Yamabe problem on non-spherical quaternionic contact manifolds ⋮ Quaternionic contact \(4n+3\)-manifolds and their \(4n\)-quotients ⋮ The Obata first eigenvalue theorem on a seven-dimensional quaternionic contact manifold
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