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

Salah Chaib, Ana Cristina Ferreira, Abdelghani Zeghib

Let us call pseudo-homothetic group the non-unimodular 3-dimensional Lie group that is the semi-direct product of $R$ acting non-semisimply on $R^{2}$ . In this arti…

math.SG2024

Fibering polarizations and Mabuchi rays on symmetric spaces of compact type

Thomas Baier, Ana Cristina Ferreira, Joachim Hilgert +2

In this paper, we describe holomorphic quantizations of the cotangent bundle of a symmetric space of compact type $T^{*} (U / K) ≅ U_{C} / K_{C}$ , along Mabuchi rays of $…

math.DG2023

Lie groups with all left-invariant semi-Riemannian metrics complete

Ahmed Elshafei, Ana Cristina Ferreira, Miguel Sánchez +1

For each left-invariant semi-Riemannian metric $g$ on a Lie group $G$ , we introduce the class of bi-Lipschitz Riemannian Clairaut metrics, whose completeness implies the completene…

math.DG2022

Geodesic completeness of pseudo and holomorphic Riemannian metrics on Lie groups

Ahmed Elshafei, Ana Cristina Ferreira, Helena Reis

This paper is devoted to geodesic completeness of left-invariant metrics for real and complex Lie groups. We start by establishing the Euler-Arnold formalism in the holomorphic set…