E. Loubeau

activity

19962023

most citedBiminimal immersions

36 citations · 84 across the 31 of their papers we have counts for

collaborators

34 papers

math.DG2023

The analysis of the harmonic-spin(7) flow

E Loubeau

The group Spin(7) belongs to the list of possible holonomy of an eight-dimensional Riemannian manifold. The weaker notion of Spin(7)-structures plays for manifolds with holonomy Sp…

math.DG2023

Harmonicity of normal almost contact metric structures

M. Benyounes, T. Levasseur, E. Loubeau +1

We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as…

math.DG2022

Flows of geometric structures

Daniel Fadel, Eric Loubeau, Andrés J. Moreno +1

We develop an abstract theory of flows of geometric $H$ -structures, i.e., flows of tensor fields defining $H$ -reductions of the frame bundle, for a closed and connected subgroup $H…

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…