Decompositions and complexifications of homogeneous spaces

2013/07/03 by Martín Miglioli, Martin Miglioli, Miglioli, Martin
Mathematics · #22E62 #47L20 (Secondary) #53C30 (Primary) 22E65 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #math.DG #math.FA #msc:22E62 #msc:22E65 #msc:47L20 #msc:53C30

paper · pdf · doi:10.48550/arxiv.1307.1138

19 pages, v2 with added example of coadjoint orbits in Schatten ideals and minor corrections

openalex publication_date 2013/07/03 · arxiv created 2013/09/27 · arxiv updated 2013/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Killing frames and S-curvature of homogeneous Finsler spaces
• Recent progress on homogeneous Finsler spaces with positive curvature
• Homogeneous nonlinear splittings and Finsler submersions
• A symmetric Finsler space with Chern connection
• Homogeneous codimension-one foliations on reducible symmetric spaces of noncompact type