350 citations
- Helsinki Institute of PhysicsFI7 papers
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math.DG2007★ 1 cited
Curvature of almost quaternion-Hermitian manifolds
Francisco Martin Cabrera, Andrew Swann
We study the decomposition of the Riemannian curvature R tensor of an almost quaternion-Hermitian manifold under the action of its structure group Sp(n)Sp(1). Using the minimal con…
math.DG2003
Almost Hermitian Structures and Quaternionic Geometries
Francisco Martin Cabrera, Andrew Swann
Gray & Hervella gave a classification of almost Hermitian structures (g,I) into 16 classes. We systematically study the interaction between these classes when one has an almost hyp…
math.DG2002
Einstein Metrics via Intrinsic or Parallel Torsion
Richard Cleyton, Andrew Swann
The classification of Riemannian manifolds by the holonomy group of their Levi-Civita connection picks out many interesting classes of structures, several of which are solutions to…