Alejandro Gil-García

activity

20212026

most citedSymmetric and skew-symmetric complex structures

5 citations · 9 across the 15 of their papers we have counts for

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3 papers · 1 filter

math.DG2024

Born Lie algebras

Alejandro Gil-García, Paula Naomi Pilatus

We show that every Born Lie algebra can be obtained by the bicross product construction starting from two pseudo-Riemannian Lie algebras. We then obtain a classification of all Lie…

math.DG2024

Parallel spinors for $G_{2}^{*}$ and isotropic structures

Alejandro Gil-García, C. S. Shahbazi

We obtain a correspondence between irreducible real parallel spinors on pseudo-Riemannian manifolds $(M, g)$ of signature $(4, 3)$ and solutions of an associated differential system…

math.DG2024

Symmetries of one-loop deformed q-map spaces

Vicente Cortés, Alejandro Gil-García, Danu Thung

Q-map spaces form an important class of quaternionic Kähler manifolds of negative scalar curvature. Their one-loop deformations are always inhomogeneous and have been used to const…

Born Lie algebras

Parallel spinors for G2∗​ and isotropic structures

Symmetries of one-loop deformed q-map spaces

Parallel spinors for $G_{2}^{*}$ and isotropic structures