117 citations · 390 across the 18 of their papers we have counts for
12 papers · 1 filter
Unimodular Sasaki and Vaisman Lie groups
Vicente Cortes, Keizo Hasegawa
This is a continuation of our study on homogeneous locally conformally Kaehler and Sasaki manifolds. In a recent work, applying the technique of modification we have determined all…
Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics
Vicente Cortés, Arpan Saha
We show that the one-loop quantum deformation of the universal hypermultiplet provides a family of complete -pinched negatively curved quaternionic Kähler (i.e. half conformal…
ASK/PSK-correspondence and the r-map
Vicente Cortés, Peter-Simon Dieterich, Thomas Mohaupt
We formulate a correspondence between affine and projective special Kähler manifolds of the same dimension. As an application, we show that, under this correspondence, the affine s…
Pseudo-Riemannian almost quaternionic homogeneous spaces with irreducible isotropy
Vicente Cortés, Benedict Meinke
We show that pseudo-Riemannian almost quaternionic homogeneous spaces with index 4 and an H-irreducible isotropy group are locally isometric to a pseudo-Riemannian quaternionic Käh…
On the boundary behaviour of left-invariant Hitchin and hypo flows
Florin Belgun, Vicente Cortés, Marco Freibert +1
We investigate left-invariant Hitchin and hypo flows on -, - and -dimensional Lie groups. They provide Riemannian cohomogeneity-one manifolds of one dimension higher with…
Homogeneous locally conformally Kaehler and Sasaki manifolds
Dmitri V. Alekseevsky, Vicente Cortes, Keizo Hasegawa +1
We prove various classification results for homogeneous locally conformally symplectic manifolds. In particular, we show that a homogeneous locally conformally Kaehler manifold of…
Symplectic Lie Groups I-III
Oliver Baues, Vicente Cortès
We develop the structure theory of symplectic Lie groups based on the study of their isotropic normal subgroups. The article consists of three main parts. In the first part we show…
On certain Kähler quotients of quaternionic Kähler manifolds
V. Cortés, J. Louis, P. Smyth +1
We prove that, given a certain isometric action of a two-dimensional Abelian group A on a quaternionic Kähler manifold M which preserves a submanifold N\subset M, the quotient M'=N…
Cones over pseudo-Riemannian manifolds and their holonomy
D. V. Alekseevsky, V. Cortés, A. Galaev +1
By a classical theorem of Gallot (1979), a Riemannian cone over a complete Riemannian manifold is either flat or has irreducible holonomy. We consider metric cones with reducible h…
Aspherical Kähler Manifolds with Solvable Fundamental Group
Oliver Baues, Vicente Cortés
We survey recent developments which led to the proof of the Benson-Gordon conjecture on Kähler quotients of solvable Lie groups. In addition we prove that the Albanese morphism of…
Special Kaehler manifolds: a survey
Vicente Cortes
This is a survey of recent contributions to the area of special Kaehler geometry. It is based on lectures given at the 21st Winter School on Geometry and Physics held in Srni in Ja…
A new construction of homogeneous quaternionic manifolds and related geometric structures
Vicente Cortes
Let V be the pseudo-Euclidean vector space of signature (p,q), p>2 and W a module over the even Clifford algebra Cl^0 (V). A homogeneous quaternionic manifold (M,Q) is constructed…