The c-map on groups

Abstract

We study the projective special Kaehler condition on groups, providing an intrinsic definition of homogeneous projective special Kaehler that includes the previously known examples. We give intrinsic defining equations that may be used without resorting to computations in the special cone, and emphasise certain associated integrability equations. The definition is shown to have the property that the image of such structures under the c-map is necessarily a left-invariant quaternionic Kaehler structure on a Lie group.

17 pages

References in corpus (2)

• Twist geometry of the c-map
• Classification of complete projective special real surfaces

Cited by in corpus (2)

• Construction of projective special Kähler manifolds
• The c-map as a functor on certain variations of Hodge structure