Local almost contact metric 3-structures
Copyright policy )Local almost contact metric 3-structures
The authors study a natural odd-dimensional analogue of quaternion-Kähler structures. They show that such manifolds are Einstein with positive scalar curvature and if complete are compact with finite fundamental group; with some regularity assumption they fiber with 3-dimensional spherical space forms over Einstein orbifolds with positive scalar curvature.
- University of Cagliari Italy
- University of Bucharest Romania
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, almost contact structure, Special Riemannian manifolds (Einstein, Sasakian, etc.), quaternion-Kähler manifold, Einstein manifold, Contact manifolds (general theory), Riemannian submersion, Riemannian foliation, warped product
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, almost contact structure, Special Riemannian manifolds (Einstein, Sasakian, etc.), quaternion-Kähler manifold, Einstein manifold, Contact manifolds (general theory), Riemannian submersion, Riemannian foliation, warped product
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