Decompositions and complexifications of homogeneous spaces
Differential Geometry
2013-10-01 v2 Functional Analysis
Abstract
In this paper an extended CPR decomposition theorem for Finsler symmetric spaces of semi-negative curvature in the context of reductive structures is proven. This decomposition theorem is applied to give a geometric description of the complexification of some infinite dimensional homogeneous spaces.
Cite
@article{arxiv.1307.1138,
title = {Decompositions and complexifications of homogeneous spaces},
author = {Martin Miglioli},
journal= {arXiv preprint arXiv:1307.1138},
year = {2013}
}
Comments
19 pages, v2 with added example of coadjoint orbits in Schatten ideals and minor corrections