activity
19952023
most citedClassification of generalized Einstein metrics on 3-dimensional Lie groups

6 citations · 19 across the 11 of their papers we have counts for

collaborators

12 papers

math.DG2023★ 2 cited

S-duality and the universal isometries of instanton corrected q-map spaces

Vicente Cortés, Iván Tulli

Given a conical affine special Kähler (CASK) manifold together with a compatible mutually local variation of BPS structures, one can construct a quaternionic-Kähler (QK) manifold.…

math.DG2022★ 1 cited

A class of locally inhomogeneous complete quaternionic Kähler manifolds

Vicente Cortés, Alejandro Gil-García, Arpan Saha

We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry g…

math.DG2022

The H/Q-correspondence and a generalization of the supergravity c-map

Vicente Cortés, Kazuyuki Hasegawa

Given a hypercomplex manifold with a rotating vector field (and additional data), we construct a conical hypercomplex manifold. As a consequence, we associate a quaternionic manifo…

math.DG2022

B_n-generalized pseudo-Kahler structures

Vicente Cortés, Liana David

We define the notions of B_n-generalized pseudo-Hermitian and B_n-generalized pseudo-Kahler structures on an odd exact Courant algebroid E. When E is in the standard form (or of ty…

math.DG2022

Hermitian structures on a class of quaternionic Kähler manifolds

V. Cortés, A. Saha, D. Thung

Any quaternionic Kähler manifold equipped with a Killing vector field with nowhere vanishing quaternionic moment map carries an integrable almo…

math.DG2022★ 6 cited

Classification of generalized Einstein metrics on 3-dimensional Lie groups

Vicente Cortés, David Krusche

We develop the theory of left-invariant generalized pseudo-Riemannian metrics on Lie groups. Such a metric accompanied by a choice of left-invariant divergence operator gives rise…

math.DG2022★ 1 cited

A note on quaternionic Kähler manifolds with ends of finite volume

V. Cortés

We prove that complete non-locally symmetric quaternionic Kähler manifolds with an end of finite volume exist in all dimensions .

math.DG2021

Heisenberg-invariant self-dual Einstein manifolds

Vicente Cortés, Ángel Murcia

We classify all self-dual Einstein four-manifolds invariant under a principal action of the three-dimensional Heisenberg group with non-degenerate orbits. The metrics are explicit…

math.DG2021

Four-dimensional Einstein manifolds with Heisenberg symmetry

Vicente Cortés, Arpan Saha

We classify Einstein metrics on invariant under a four-dimensional group of isometries including a principal action of the Heisenberg group. The metrics are either R…

hep-th2015

Special Geometry of Euclidean Supersymmetry IV: the local c-map

Vicente Cortés, Paul Dempster, Thomas Mohaupt +1

We consider timelike and spacelike reductions of 4D, N = 2 Minkowskian and Euclidean vector multiplets coupled to supergravity and the maps induced on the scalar geometry. In parti…

math.DG2014★ 3 cited

Locally homogeneous nearly Kähler manifolds

Vicente Cortés, José J. Vásquez

We construct locally homogeneous 6-dimensional nearly Kähler manifolds as quotients of homogeneous nearly Kähler manifolds by freely acting finite subgroups of . We s…

math.RT1995★ 6 cited

Classification of -(super)-extended Poincaré algebras and bilinear invariants of the spinor representation of

Dmitry V. Alekseevsky, Vicente Cortés

We classify extended Poincaré Lie super algebras and Lie algebras of any signature (p,q), that is Lie super algebras and Z_2-graded Lie algebras g = g_0 + g_1, where g_0 = so(V) +…