A. J. Moreno

activity

20192026

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4 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.DG2019

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…

Flows of geometric structures II

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

G2​-instantons on 2-step nilpotent Lie groups

Explicit Soliton for the Laplacian Co-Flow on a Solvmanifold

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

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