Classification of complete projective special real surfaces

Abstract

We determine all complete projective special real surfaces. By the supergravity r-map, they give rise to complete projective special Kähler manifolds of dimension 6, which are distinguished by the image of their scalar curvature function. By the supergravity c-map, the latter manifolds define in turn complete quaternionic Kähler manifolds of dimension 16.

30 pages

Cited by in corpus (5)

• Special Geometry, Hessian Structures and Applications
• Construction of projective special Kähler manifolds
• The c-map on groups
• Limit geometry of complete projective special real manifolds
• Special homogeneous surfaces