10 citations · 17 across the 8 of their papers we have counts for
8 papers
Lorentzian symmetric spaces which are Einstein-Yang-Mills with respect to invariant metric connections
Marco Castrillón López, Pedro M. Gadea, Eugenia Rosado Maria
We classify four-dimensional connected simply-connected indecomposable Lorentzian symmetric spaces with connected nontrivial isotropy group furnishing solutions of the Einstein…
Ricci-flat Kähler metrics on tangent bundles of rank-one symmetric spaces of compact type
P. M. Gadea, J. C. González-Dávila, I. V Mykytyuk
We give an explicit description of all complete -invariant Ricci-flat Kähler metrics on the tangent bundle of rank-one Riemannian symmetric spaces $G…
Invariant Ricci-flat Kähler metrics on tangent bundles of compact symmetric spaces
P. M. Gadea, J. C. González-Dávila, I. V. Mykytyuk
We give a description of all -invariant Ricci-flat Kähler metrics on the canonical complexification of any compact Riemannian symmetric space of arbitrary rank, by using s…
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…
Cyclic metric Lie groups
P. M. Gadea, Jose Carmelo Gonzalez-Davila, Jose Antonio Oubina
Cyclic metric Lie groups are Lie groups equipped with a left-invariant metric which is in some way far from being biinvariant, in a sense made explicit in terms of Tricerri and Van…
Cyclic homogeneous Riemannian manifolds
P. M. Gadea, José Carmelo González-Dávila, José A. Oubiña
In spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric sp…
The homogeneous geometries of real hyperbolic space
Marco Castrillon Lopez, P. M. Gadea, Andrew Swann
We describe the holonomy algebras of all canonical connections of homogeneous structures on real hyperbolic spaces in all dimensions. The structural results obtained then lead to a…
The canonical 8-form on manifolds with holonomy group Spin(9)
M. Castrillon Lopez, P. M. Gadea, I. Mykytyuk
An explicit expression of the canonical 8-form on a Riemannian manifold with a Spin(9)-structure, in terms of the nine local symmetric involutions involved, is given. The list of e…