33 citations · 63 across the 14 of their papers we have counts for
16 papers
Harmonic almost contact metric manifolds revisited
Francisco Martín Cabrera
The study of harmonicity for almost contact metric structures was initiated by Vergara-Díaz and Wood and continued by González-Dávila and the present author. By using the intrinsic…
On the classification of almost contact metric manifolds
Francisco Martín Cabrera
On connected manifolds of dimension higher than three, the non-existence of Chinea and González-Dávila types of almost contact metric structures is proved. This is a conseque…
The exterior derivative of the Lee form of almost Hermitian manifolds
Francisco Martín Cabrera
The exterior derivative of the Lee form of almost Hermitian manifolds is studied. If is the Kähler two-form, it is proved that the -component of is…
Quaternion geometries on the twistor space of the six-sphere
Francisco Martin Cabrera, Andrew Swann
We explicitly describe all SO(7)-invariant almost quaternion-Hermitian structures on the twistor space of the six sphere and determine the types of their intrinsic torsion.
Homogeneous nearly Kähler manifolds
J. C. González Dávila, F. Martín Cabrera
The structure of nearly Kähler manifolds was studied by Gray in several papers. More recently, a relevant progress on the subject has been done by Nagy. Among other results, he pro…
Nearly Kahler homogeneous manifolds with positive curvature
J. C. Gonzalez Davila, F. Martin Cabrera
We prove that a 2n-dimensional compact homogeneous nearly Kahler manifold with strictly positive sectional curvature is isometric to CP^{n}, equipped with the symmetric Fubini-Stud…