Riemannian Supergeometry
Differential Geometry
2009-08-12 v1
Abstract
Motivated by a paper of Zirnbauer, we develop a theory of Riemannian supermanifolds up to a definition of Riemannian symmetric superspaces. Various fundamental concepts needed for the study of these spaces both from the Riemannian and the Lie theoretical viewpoint are introduced, e.g. geodesics, isometry groups and invariant metrics on Lie supergroups and homogeneous superspaces.
Cite
@article{arxiv.math/0604143,
title = {Riemannian Supergeometry},
author = {Oliver Goertsches},
journal= {arXiv preprint arXiv:math/0604143},
year = {2009}
}
Comments
43 pages, abridged version of author's thesis