3 papers
math.DG2005
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…
math.DG2004
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…
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…