Structure theory of naturally reductive spaces

2018/10/05 by Reinier Storm, Storm, Reinier · 1 citation
Mathematics · #53C10 #53C30 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C10 #msc:53C30

paper · pdf · doi:10.48550/arxiv.1810.02616

arxiv created 2018/10/05 · arxiv updated 2018/10/08

Abstract

The main result of this paper is that every naturally reductive space can be explicitly constructed from the construction in \citeStorm2018. This gives us a general formula for any naturally reductive space and from this we prove reducibility and isomorphism criteria.

Cited by

• Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules

Related

• A new construction of naturally reductive spaces
• A note on the uniqueness of the canonical connection of a naturally reductive space
• Four-dimensional naturally reductive pseudo-Riemannian spaces
• From groups to symmetric spaces
• Inaudibility of naturally reductive property