3 papers
math.DG2025
Components of generalised complex structures on transitive Courant algebroids
Vicente Cortés, Liana David
Generalised almost complex structures on transitive Courant algebroids are studied in terms of their components with respect to a splitting $E\cong TM \oplus T^*M…
math.DG2025
Intrinsic characterization of projective special complex manifolds
Vicente Cortés, Kazuyuki Hasegawa
We define the notion of an -bundle of projective special complex base type and construct a conical special complex manifold from it. Consequently the base space of such an $S^…
math.DG2025
Quaternionic Kähler manifolds fibered by solvsolitons
Vicente Cortés, Alejandro Gil-García, Markus Röser
This paper is concerned with the geometry of principal orbits in quaternionic Kähler manifolds of cohomogeneity one. We focus on the complete cohomogeneity one examples obtaine…