activity
19992022
most citedQuaternionic Kähler metrics associated with special Kähler manifolds

44 citations · 185 across the 27 of their papers we have counts for

collaborators

30 papers

math.DG2022

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

Vicente Cortés, Iván Tulli

The tree-level q-map assigns to a projective special real (PSR) manifold of dimension , a quaternionic Kähler (QK) manifold of dimension . It is known that the res…

math.DG2022

Classification of left-invariant Einstein metrics on that are bi-invariant under a one-parameter subgroup

Vicente Cortés, Jeremias Ehlert, Alexander S. Haupt +1

We classify all left-invariant pseudo-Riemannian Einstein metrics on that are bi-invariant under a one-parameter subgrou…

math.DG2021★ 9 cited

Quaternionic Kähler metrics associated to special Kähler manifolds with mutually local variations of BPS structures

Vicente Cortés, Iván Tulli

We construct a quaternionic-Kähler manifold from a conical special Kähler manifold with a certain type of mutually-local variation of BPS structures. We give global and local expli…

math.DG2021★ 3 cited

Complete quaternionic Kähler manifolds with finite volume ends

V. Cortés, M. Röser, D. Thung

We construct examples of complete quaternionic Kähler manifolds with an end of finite volume, which are not locally homogeneous. The manifolds are aspherical with fundamental group…

math.DG2021

T-duality for transitive Courant algebroids

Vicente Cortés, Liana David

We develop a theory of T-duality for transitive Courant algebroids. We show that T-duality between transitive Courant algebroids E\rightarrow M and \tilde{E}\rightarrow \tilde{M} i…

math.DG2020★ 5 cited

Curvature of quaternionic Kähler manifolds with -symmetry

V. Cortés, A. Saha, D. Thung

We study the behavior of connections and curvature under the HK/QK correspondence, proving simple formulae expressing the Levi-Civita connection and Riemann curvature tensor on the…