activity
20002024
most citedGeometric construction of the r-map: from affine special real to special Kähler manifolds

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

collaborators

8 papers

math.DG2024

Generalised Einstein metrics on Lie groups

Vicente Cortés, Marco Freibert, Mateo Galdeano

We continue the systematic study of left-invariant generalised Einstein metrics on Lie groups initiated in arXiv:2206.01157. Our approach is based on a new reformulation of the cor…

math.DG2024★ 1 cited

Curvature of quaternionic skew-Hermitian manifolds and bundle constructions

Ioannis Chrysikos, Vicente Cortés, Jan Gregorovič

This articles is devoted to a description of the second-order differential geometry of torsion-free almost quaternionic skew-Hermitian manifolds, that is, of quaternionic skew-Herm…

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…

math.DG2023

Classification of odd generalized Einstein metrics on 3-dimensional Lie groups

Vicente Cortés, Liana David

An odd generalized metric E_{-} on a Lie group G of dimension n is a left-invariant generalized metric on a Courant algebroid E_{H, F} of type B_n over G with left-invariant twisti…

math.DG2023

Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations

Vicente Cortés, Thomas Leistner

A conformal transformation of a semi-Riemannian manifold is essential if there is no conformally equivalent metric for which it is an isometry. For Riemannian manifolds the existen…

math.DG2012

Conification of Kähler and hyper-Kähler manifolds

Dmitri V. Alekseevsky, Vicente Cortés, Thomas Mohaupt

Given a Kähler manifold endowed with a Hamiltonian Killing vector field , we construct a conical Kähler manifold such that is recovered as a Kähler quotient of…