A. J. Moreno

activity

20062026

most citedExplicit Soliton for the Laplacian Co-Flow on a Solvmanifold

3 citations · 12 across the 9 of their papers we have counts for

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8 papers · 1 filter

math.DG2026

Flows of geometric structures II

Daniel Fadel, Udhav Fowdar, Eric Loubeau +2

We advance the general theory of flows of tensorial $H$ -structures, focusing on non-isometric flows and on the case $H = SU (m) \subset SO (2 m)$ . Afte…

math.DG2023

On the Laplacian coflow of invariant $G_{2}$ -structures and its solitons

Andrés J. Moreno, Julieth Saavedra

In this work, we approach the Laplacian coflow of a coclosed $G_{2}$ -structure $φ$ using the formulae for the irreducible $G_{2}$ -decomposition of the Hodge Laplacian and the Lie deriv…

math.DG2023

G $_{2}$ -instantons on $2$ -step nilpotent Lie groups

Andrew Clarke, Viviana del Barco, Andrés J. Moreno

We study the G $_{2}$ -instanton condition for a family of metric connections arisen from the characteristic connection, on $7$ -dimensional $2$ -step nilpotent Lie groups with left-inva…

math.DG2022★ 2 cited

Harmonic $G_{2}$ -structures on almost Abelian Lie groups

Andrés J. Moreno

We consider left-invariant $G_{2}$ -structures on $7$ -dimensional almost Abelian Lie groups. Also, we characterise the associated torsion forms and the full torsion tensor according t…

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 $S p (2)$ -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.DG2019★ 3 cited

Explicit Soliton for the Laplacian Co-Flow on a Solvmanifold

Andrés J. Moreno, Henrique N. Sá Earp

We apply the general Ansatz in geometric flows on homogeneous spaces proposed by Jorge Lauret for the Laplacian co-flow of invariant $G_{2}$ -structures on a Lie group, finding an exp…

math.DG2017★ 1 cited

The Weitzenböck formula for the Fueter-Dirac operator

Andrés J. Moreno, Henrique N. Sá Earp

We find Weitzenböck formula for the Fueter-Dirac operator which controls the infinitesimal deformations of an associative submanifold in a $7$ --manifold with a $G_{2}$ --structure. We…

Flows of geometric structures II

On the Laplacian coflow of invariant G2​-structures and its solitons

G2​-instantons on 2-step nilpotent Lie groups

Harmonic G2​-structures on almost Abelian Lie groups