Quaternionic contact Einstein manifolds

Abstract

The main result is that the qc-scalar curvature of a seven dimensional quaternionic contact Einstein manifold is a constant. In addition, we characterize qc-Einstein structures with certain flat vertical connection and develop their local structure equations. Finally, regular qc-Ricci flat structures are shown to fibre over hyper-Kahler manifolds.

References in corpus (1)

• On seven dimensional quaternionic contact solvable Lie groups

Cited by in corpus (5)

• Quaternionic contact hypersurfaces in hyper-Kähler manifolds
• Intrinsic torsion in quaternionic contact geometry
• A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold
• On the existence of local quaternionic contact geometries
• The topology of quaternionic contact manifolds