I. Kath

works on

classification 1 compact quotients 1 discrete subgroups 1 isometry groups 1 pseudo-riemannian geometry 1 symmetric spaces 1

From the 1 of 3 linked papers with an AI index.

activity

20242026

collaborators

3 papers

math.DG2026

Pseudo-Riemannian symmetric spaces of signature (2,2)

Ines Kath, Matti Lyko

The paper classifies all four‑dimensional simply‑connected indecomposable non‑semisimple pseudo‑Riemannian symmetric spaces with signature (2,2), provides explicit models, computes…

math.DG2025

Left-invariant $G_{2}^{*}$ -structures of type III

Viviana del Barco, Ana Cristina Ferreira, Ines Kath

We investigate left-invariant $G_{2}^{*}$ -structures on 7-dimensional Lie groups, focusing on those whose holonomy algebras are indecomposable and of type III, the latter meaning…

math.DG2024

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 $X$ by a discrete subgroup of its isometry group. This quotient is calle…

Pseudo-Riemannian symmetric spaces of signature (2,2)

Left-invariant G2∗​-structures of type III

Topology and Dynamics of compact plane waves

Left-invariant $G_{2}^{*}$ -structures of type III