Indefinite extrinsic symmetric spaces I
Differential Geometry
2008-10-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0809.4713,
title = {Indefinite extrinsic symmetric spaces I},
author = {Ines Kath},
journal= {arXiv preprint arXiv:0809.4713},
year = {2008}
}
Comments
22 pages, v2 with corrections to Prop. 6.2