Handbook of Pseudo-Riemannian Geometry and Supersymmetry


Full-Text PDF (649 KB) | Book articles | Book details

pp: 731–817

DOI: 10.4171/079-1/22

Prehomogeneous affine representations and flat pseudo-Riemannian manifolds

Oliver Baues[1]

(1) Mathematisches Institut, Georg-August Universität Göttingen, Bunsenstraße 3-5, 37073, GÖTTINGEN, GERMANY

The theory of flat pseudo-Riemannian manifolds and flat affine manifolds is closely connected to the topic of prehomogeneous affine representations of Lie groups. In this article, we exhibit several aspects of this correspondence. At the heart of our presentation is a development of the theory of characteristic classes and characters of prehomogeneous affine representations. We give applications concerning flat affine, as well as pseudo-Riemannian and symplectic affine flat manifolds.

No keywords available for this article.

BACK TO TOP