5 citations · 5 across the 4 of their papers we have counts for
4 papers
Energy of generalized distributions
J. C. González-Dávila
We consider the energy of smooth generalized distributions and also of singular foliations on compact Riemannian manifolds for which the set of their singularities consists of a fi…
Homogeneous spin Riemannian manifolds with the simplest Dirac operator
P. M. Gadea, José C. González-Dávila, José A. Oubiña
We show the existence of nonsymmetric homogeneous spin Riemannian manifolds whose Dirac operator is like that on a Riemannian symmetric spin space. Such manifolds are exactly the h…
Existence of non-isotropic conjugate points on rank one normal homogeneous spaces
J. C. González-Dávila, A. M. Naveira
We give a positive answer to the Chavel's conjecture [J. Diff. Geom. 4 (1970), 13-20]: a simply connected rank one normal homogeneous space is symmetric if any pair of conjugate po…
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…