Abstract
We characterize the adjoint orbits in the Lie algebra of as fibered spaces over with fibers given by the complex Cartan hypersurfaces. This combines the isoparametric hypersurfaces of case with case . The fibrations on two singular orbits turn out to be diffeomorphic to the twistor fibrations of and . From the symplectic point of view, we show that there exists a 2-parameter family of Lagrangian submanifolds on every orbit.
Citation
Reiko Miyaoka. "Geometry of orbits and isoparametric hypersurfaces." Nagoya Math. J. 203 175 - 189, September 2011. https://doi.org/10.1215/00277630-1331899
Information