3 papers
math.DG2017
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…
math.DG2016
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…
math.DG2016
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…