428 citations
- Instituto de Astrofísica de CanariasES6 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Max Planck Institute for AstrophysicsDE5 papers
- University of PaduaIT5 papers
- Osservatorio Astronomico di PadovaIT4 papers
- Queen's University BelfastGB4 papers
- Trieste Astronomical ObservatoryIT4 papers
- AlbaNovaSE3 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3 papers
- Consejo Superior de Investigaciones CientíficasES3 papers
- European Southern ObservatoryCL3 papers
- Stockholm UniversitySE3 papers
8 papers · 1 filter
Jacobi osculating rank and isotropic geodesics on naturally reductive 3-manifolds
J. C. Gonzalez-Davila
We study the Jacobi osculating rank of geodesics on naturally reductive homogeneous manifolds and we apply this theory to the 3-dimensional case. Here, each non-symmetric, simply c…
Harmonicity of sections of sphere bundles
J. C. Gonzalez-Davila, F. Martin Cabrera, M. Salvai
We consider the energy functional on the space of sections of a sphere bundle over a Riemannian manifold (M, <,>) equipped with the Sasaki metric and we discuss the characterising…
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…
Singular lagrangian systems and variational constrained mechanics on Lie algebroids
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
The purpose of this paper is describe Lagrangian Mechanics for constrained systems on Lie algebroids, a natural framework which covers a wide range of situations (systems on Lie gr…
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…
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…