Classification of complete projective special real surfaces
classification
🧮 math.DG
hep-th
keywords
completemanifoldsprojectivespecialahlerdimensionrealsupergravity
read the original abstract
We determine all complete projective special real surfaces. By the supergravity r-map, they give rise to complete projective special K\"ahler 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 K\"ahler manifolds of dimension 16.
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