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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

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6 papers · 1 filter

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 .