activity
20092025
most citedThe canonical 8-form on manifolds with holonomy group Spin(9)

10 citations · 17 across the 8 of their papers we have counts for

collaborators

8 papers

math.DG2025

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…

math.DG2019

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…

math.DG2019

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…

math.DG2015★ 5 cited

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…

math.DG2014

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…

math.DG2014★ 2 cited

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…