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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…
SU(3)-structures on hypersurfaces of manifolds with G_2-structure
Francisco Martin Cabrera
We study SU(3)-structures induced on orientable hypersurfaces of seven-dimensional manifolds with G_2-structure. Taking Gray-Hervella types for both structures into account, we rel…
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…
Almost Quaternion-Hermitian Manifolds
Francisco Martin Cabrera
Following the point of view of Gray and Hervella, we derive detailed conditions which characterize each one of the classes of almost quaternion-Hermitian -manifolds, . Pre…