7 citations · 9 across the 5 of their papers we have counts for
9 papers · 1 filter
Curvature of (special) almost Hermitian manifolds
Francisco Martin Cabrera, Andrew Swann
We study the curvature of almost Hermitian manifolds and their special analogues via intrinsic torsion and representation theory. By deriving different forumlae for the skew-symmet…
Metric geometries over the split quaternions
A. S. Dancer, H. R. Jorgensen, A. F. Swann
We give an overview of some recent results in hypersymplectic and para-quaternionic Kahler geometry, and introduce the notion of split three-Sasakian manifold. In particular, we di…
Toric Hypersymplectic Quotients
Andrew Dancer, Andrew Swann
We study the hypersymplectic spaces obtained as quotients of flat hypersymplectic space R^{4d} by the action of a compact Abelian group. These 4n-dimensional quotients carry a mult…
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…
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…
HyperKähler Potentials via Finite-Dimensional Quotients
Piotr Kobak, Andrew Swann
It is known that nilpotent orbits in a complex simple Lie algebra admit hyperKähler metrics with a single function that is a global potential for each of the Kähler structures (a h…