Special geometry
A special manifold M is an allowed target manifold for the vector multiplets of \(D=4\), \(N=2\) supergravity. The existence of a holomorphic \(Sp(2n+2,R)\otimes GL(1,C)-\) vector bundle over M with a nowhere vanishing holomorphic section \(\Omega\) is a characterization of a special manifold M of complex dimension n. The author gives a global description of special geometries and studies their principal properties.
scientific article; zbMATH DE number 4180281