A. Otal

activity

20152023

most citedOn Gauduchon connections with Kähler-like curvature

39 citations · 40 across the 3 of their papers we have counts for

collaborators

6 papers

math.DG2023★ 1 cited

Six dimensional homogeneous spaces with holomorphically trivial canonical bundle

A. Otal, L. Ugarte

We classify all the $6$ -dimensional unimodular Lie algebras $g$ admitting a complex structure with non-zero closed $(3, 0)$ -form. This gives rise to $6$ -dimensional compa…

math.DG2019

Laplacian coflow for warped $G_{2}$ -structures

Victor Manero, Antonio Otal, Raquel Villacampa

We consider the Laplacian coflow of a $G_{2}$ -structure on warped products of the form $M^{7} = M^{6} \times_{f} S^{1}$ with $M^{6}$ a compact 6-manifold endowed with an $\mathrm{SU}(3…

math.DG2018★ 39 cited

On Gauduchon connections with Kähler-like curvature

Daniele Angella, Antonio Otal, Luis Ugarte +1

We study Hermitian metrics with a Gauduchon connection being "Kähler-like", namely, satisfying the same symmetries for curvature as the Levi-Civita and Chern connections. In partic…

math.DG2017

Solutions of the Laplacian flow and coflow of a Locally Conformal Parallel $G_{2}$ -structure

Victor Manero, Antonio Otal, Raquel Villacampa

We study the Laplacian flow of a $G_{2}$ -structure where this latter structure is claimed to be Locally Conformal Parallel. The first examples of long time solutions of this…

math.DG2016

Invariant solutions to the Strominger system and the heterotic equations of motion

A. Otal, L. Ugarte, R. Villacampa

We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections $\nabla^{ε, ρ}$ in the anomaly cancellation e…

math.DG2015

Complex structures of splitting type