Riemannian Supergeometry
微分几何
2009-08-12 v1
摘要
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.
引用
@article{arxiv.math/0604143,
title = {Riemannian Supergeometry},
author = {Oliver Goertsches},
journal= {arXiv preprint arXiv:math/0604143},
year = {2009}
}
备注
43 pages, abridged version of author's thesis