44 citations · 52 across the 3 of their papers we have counts for
5 papers
A class of cubic hypersurfaces and quaternionic Kähler manifolds of co-homogeneity one
Vicente Cortés, Malte Dyckmanns, Michel Jüngling +1
We classify all complete projective special real manifolds with reducible cubic potential, obtaining four series. For two of the series the manifolds are homogeneous, for the two o…
Completeness of projective special Kähler and quaternionic Kähler manifolds
Vicente Cortés, Malte Dyckmanns, Stefan Suhr
We prove that every projective special Kähler manifold with \emph{regular boundary behaviour} is complete and defines a family of complete quaternionic Kähler manifolds depending o…
The para-HK/QK correspondence
Malte Dyckmanns, Owen Vaughan
We generalise the hyper-Kahler/quaternionic Kahler (HK/QK) correspondence to include para-geometries, and present a new concise proof that the target manifold of the HK/QK correspo…
Quaternionic Kähler metrics associated with special Kähler manifolds
Dmitri V. Alekseevsky, Vicente Cortés, Malte Dyckmanns +1
We give an explicit formula for the quaternionic Kähler metrics obtained by the HK/QK correspondence. As an application, we give a new proof of the fact that the Ferrara-Sabharwal…
A twistor sphere of generalized Kahler potentials on hyperkahler manifolds
Malte Dyckmanns
We consider the generalized Kahler structures (g,J_+,J_-) that arise on a hyperkahler manifold (M,g,I,J,K) when we choose J_+ and J_- from the twistor space of M. We find a relatio…