3 papers
math.DG2024
GKM actions on almost quaternionic manifolds
Oliver Goertsches, Eugenia Loiudice
We introduce quaternionic structures on abstract GKM graphs, as the combinatorial counterpart of almost quaternionic structures left invariant by a torus action of GKM type. In the…
math.DG2016
On five dimensional Sasakian Lie algebras with trivial center
E. Loiudice, A. Lotta
We show that every five-dimensional Sasakian Lie algebra with trivial center is -symmetric. Moreover starting from a particular Sasakian structure on the Lie group $SL(2,\mathbb…
math.DG2016
On the classification of contact metric -spaces via tangent hyperquadric bundles
E. Loiudice, A. Lotta
We classify locally the contact metric (k,mu)-spaces whose Boeckx invariant is as tangent hyperquadric bundles of Lorentzian space forms.