Luc'ia Mart'in-Merch'an

activity

20212025

_{2}

equation for strong G

_{2}

-structures with torsion

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

collaborators

3 papers

math.DG2025

Closed $G_{2}$ structures on compact manifolds satisfying the known topological obstructions to holonomy $G_{2}$ metrics

Lucía Martín-Merchán

We construct new compact manifolds endowed with closed $G_{2}$ structures that satisfy the topological properties found by Joyce and Baraglia for the existence of a torsion-…

math.DG2023★ 7 cited

The twisted G $_{2}$ equation for strong G $_{2}$ -structures with torsion

Anna Fino, Lucía Martín-Merchán, Alberto Raffero

We discuss general properties of strong G $_{2}$ -structures with torsion and we investigate the twisted G $_{2}$ equation, which represents the G $_{2}$ -analogue of the twisted Calabi-Yau e…

math.DG2021★ 2 cited

Exact G $_{2}$ -structures on compact quotients of Lie groups

Anna Fino, Lucía Martín-Merchán, Alberto Raffero

We show that the compact quotient $Γ\ G$ of a seven-dimensional simply connected Lie group $G$ by a co-compact discrete subgroup $Γ \subset G$ does…

Closed G2​ structures on compact manifolds satisfying the known topological obstructions to holonomy G2​ metrics

The twisted G2​ equation for strong G2​-structures with torsion

Exact G2​-structures on compact quotients of Lie groups

Closed $G_{2}$ structures on compact manifolds satisfying the known topological obstructions to holonomy $G_{2}$ metrics

The twisted G $_{2}$ equation for strong G $_{2}$ -structures with torsion

Exact G $_{2}$ -structures on compact quotients of Lie groups