Riemannian geometry of noncommutative super surfaces
Differential Geometry
2022-12-29 v1
Abstract
In this paper, a Riemannian geometry of noncommutative super surfaces is developed which generalizes [4] to the super case. The notions of metric and connections on such noncommutative super surfaces are introduced and it is shown that the connections are metric-compatible and have zero torsion when the super metric is symmetric, giving rise to the corresponding super Riemann curvature. The latter also satisfies the noncommutative super analogue of the first and second Bianchi identities. We also give some examples and study them in details.
Keywords
Cite
@article{arxiv.2212.13461,
title = {Riemannian geometry of noncommutative super surfaces},
author = {Yong Wang and Tong Wu},
journal= {arXiv preprint arXiv:2212.13461},
year = {2022}
}