2008/09/26 by Ines Kath, Kath, Ines
Mathematics · #53C35 #53C40 #53C50 #Advanced Banach Space Theory #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C35 #msc:53C40 #msc:53C50
paper · pdf · doi:10.48550/arxiv.0809.4713
22 pages, v2 with corrections to Prop. 6.2
openalex publication_date 2008/09/26 · arxiv created 2008/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We find a one-to-one correspondence between full extrinsic symmetric spaces in (possibly degenerate) inner product spaces and certain algebraic objects called (weak) extrinsic symmetric triples. In particular, this yields a description of arbitrary extrinsic symmetric spaces in pseudo-Euclidean spaces by corresponding infinitesimal objects.