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- Title
RIEMANNIAN GEOMETRY OF NONCOMMUTATIVE SUPER SURFACES.
- Authors
YONG WANG; TONG WU
- 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.
- Subjects
RIEMANNIAN geometry; CURVATURE; TORSION
- Publication
Global Journal of Advance Research on Classical & Modern Geometries, 2023, Vol 12, Issue 2, p281
- ISSN
2284-5569
- Publication type
Article