Semisimple coadjoint orbits and cotangent bundles
Differential Geometry
2018-07-31 v2
Abstract
Semisimple (co)adjoint orbits through real hyperbolic elements are well-known to be symplectomorphic to cotangent bundles. We provide a new proof of this fact based on elementary results on both Lie theory and symplectic geometry. Our proof establishes a new connection between the Iwasawa horospherical projection and the symplectic geometry of real hyperbolic (co)adjoint orbits.
Cite
@article{arxiv.1408.4693,
title = {Semisimple coadjoint orbits and cotangent bundles},
author = {David Martínez Torres},
journal= {arXiv preprint arXiv:1408.4693},
year = {2018}
}
Comments
Abstract and introduction expanded. Bibliography updated. Journal reference added