exceptional geometry



The classification of Riemannian manifolds with special holonomy contains two “exceptional” cases: G2-holonomy in dimension 7, and Spin(7)-holonomy in dimension 8. Their study is the topic of exceptional geometry.

Sometimes more generally, exceptional geometry is understod to study spaces controled by exceptional Lie groups in some way.



General discussion is in

Discussion of G2 manifolds is in

  • Spiro Karigiannis, G 2G_2-manifolds – Exceptional structures in geometry arising from exceptional algebra (pdf)

In supergravity

Applications to KK-compactification of 11d supergravity (see also at M-theory on G2-manifolds) is discussed in

For more along these lines see the references at exceptional generalized geometry.

Revised on January 28, 2015 23:30:04 by Urs Schreiber (