Quaternionic contact Einstein manifolds

DOI10.4310/MRL.2016.V23.N5.A8zbMath1372.53049MaRDI QIDQ510374

Dimiter Vassilev, Stefan Ivanov, Ivan Minchev

Publication date: 17 February 2017

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

qc-conformal curvatureqc-conformal flatnessqc-Einstein manifoldquaternionic contact (qc) structures

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (11)

A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold ⋮ Generalizations of 3-Sasakian manifolds and skew torsion ⋮ The almost Schur lemma in quaternionic contact geometry ⋮ Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group ⋮ 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 ⋮ The topology of quaternionic contact manifolds ⋮ On the existence of local quaternionic contact geometries ⋮ Quaternionic contact \(4n+3\)-manifolds and their \(4n\)-quotients ⋮ SUB-RIEMANNIAN RICCI CURVATURES AND UNIVERSAL DIAMETER BOUNDS FOR 3-SASAKIAN MANIFOLDS ⋮ The Obata first eigenvalue theorem on a seven-dimensional quaternionic contact manifold

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