Université de Bretagne Occidentale

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19942026

most citedDigital Technologies In The Early Primary School Classroom

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math.DG2025

Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation

Rémi Delloque

We investigate the behaviour of local perturbations of a wide class of geometric PDEs on holomorphic Hermitian vector bundles over a compact complex manifold. Our main goal is to s…

math.DG2024

Continuity of HYM connections with respect to metric variations

Rémi Delloque

We investigate the set of (real Dolbeault classes of) balanced metrics $Θ$ on a balanced manifold $X$ with respect to which a torsion-free coherent sheaf $E$ on $X$ is sl…

math.DG2023

Heat flow of p-harmonic maps from complete manifolds into generalised regular balls

Zeina Al Dawoud

We study the heat flow of p-harmonic maps between complete Riemannian manifolds. We prove the global existence of the flow when the initial datum has values in a generalised regula…

math.DG2021★ 3 cited

Harmonic flow of $Spin (7)$ -structures

Shubham Dwivedi, Eric Loubeau, Henrique N. Sá Earp

We formulate and study the isometric flow of $Spin (7)$ -structures on compact $8$ -manifolds, as an instance of the harmonic flow of geometric structures. Starting from a ge…

math.DG2021★ 3 cited

Harmonic $S p (2)$ -invariant $G_{2}$ -structures on the $7$ -sphere

Eric Loubeau, Andrés J. Moreno, Henrique N. Sá Earp +1

We describe the $10$ -dimensional space of $S p (2)$ -invariant $G_{2}$ -structures on the homogeneous $7$ -sphere $S^{7} = S p (2) / S p (1)$ as $R^{+} \times G l^{+} (3, R)$ . In those te…

math.DG2020

Harmonic vector fields on extended 3-dimensional Riemannian Lie groups

Ferdinand Hountondji Koudjo, Eric Loubeau, Leonard Todjihounde

Given two Riemannian manifolds $(B, g_{B})$ and $(F, g_{F})$ , we give harmonicity conditions for vector fields on the Riemannian warped product $B \times_{f} F$ , with $f:B \longrightarrow ]0…