16 citations · 68 across the 22 of their papers we have counts for
27 papers
Left-invariant -structures of type III
Viviana del Barco, Ana Cristina Ferreira, Ines Kath
We investigate left-invariant -structures on 7-dimensional Lie groups, focusing on those whose holonomy algebras are indecomposable and of type III, the latter meaning…
Pseudo-Riemannian symmetric spaces of signature (2,2)
Ines Kath, Matti Lyko
We study all four-dimensional simply-connected indecomposable non-semisimple pseudo-Riemannian symmetric spaces whose metric has signature (2,2). We present models and compute thei…
Topology and Dynamics of compact plane waves
Malek Hanounah, Ines Kath, Lilia Mehidi +1
We study compact locally homogeneous plane waves. Such a manifold is a quotient of a homogeneous plane wave by a discrete subgroup of its isometry group. This quotient is calle…
The cubic Dirac operator on compact quotients of the oscillator group
Ines Kath, Margarita Kraus
We determine the spectrum of Kostant's cubic Dirac operator on locally symmetric Lorentzian manifolds of the form , where is the fo…
Lattices in the four-dimensional split oscillator group
Blandine Galiay, Ines Kath
Besides the oscillator group, there is another four-dimensional non-abelian solvable Lie group that admits a bi-invariant pseudo-Riemannian metric. It is called split oscillator gr…
A new example of a compact ERP G2-structure
Ines Kath, Jorge Lauret
We provide the second known example of an extremally Ricci pinched closed G2-structure on a compact 7-manifold, by finding a lattice in the only unimodular solvable Lie group admit…