Ana Cristina Ferreira

activity

20222026

most citedThe completeness problem on 3-dimensional non-unimodular Lie groups

1 citations · 2 across the 8 of their papers we have counts for

collaborators

9 papers

math.SG2026

Fourier-Helgason transform as infinite geodesic time limit in geometric quantization

Ana Cristina Ferreira, Joachim Hilgert, José M. Mourão +1

The Fourier-Helgason (FH) transform for a noncompact symmetric space $G / K$ establishes the direct integral decomposition of the unitary representation of $G$ on $L^{2} (G / K)$ into irr…

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.DG2025★ 1 cited

The completeness problem on 3-dimensional non-unimodular Lie groups

Salah Chaib, Ana Cristina Ferreira

We consider the completeness problem for left-invariant Lorentzian metrics on 3-dimensional non-unimodular Lie groups, all of which have Lie algebra of the form $\mathbb{R} \ltimes…

math.DG2025★ 1 cited

Isometries of 3-dimensional semi-Riemannian Lie groups

Salah Chaib, Ana Cristina Ferreira, Abdelghani Zeghib

Let $G$ be a connected, simply connected three-dimensional Lie group (unimodular or non-unimodular) equipped with a left-invariant (Riemannian or Lorentzian) metric $g$ . By definit…

math.AT2025

Maps from Grassmannians of 2-planes to projective spaces

Ricardo Brasil, Ana Cristina Ferreira, Lucile Vandembroucq

Using quaternions and octonions, we construct some maps from the Grassmannian of 2-dimensional planes of $R^{n}$ , $Gr_{2} (R^{n})$ , to the projective space $\ma…

math.DG2024

The completeness problem on the pseudo-homothetic Lie group