Symmetries of Supergeometries Related to Nonholonomic Superdistributions-Reference-Cited by-同舟云学术

Symmetries of Supergeometries Related to Nonholonomic Superdistributions

Published:2022-06-06 Issue: Volume: Page:
ISSN:1083-4362
Container-title:Transformation Groups
language:en
Short-container-title:Transformation Groups

Author:

Kruglikov B.^ORCID,Santi A.,The D.

Abstract

AbstractWe extend Tanaka theory to the context of supergeometry and obtain an upper bound on the supersymmetry dimension of geometric structures related to strongly regular bracket-generating distributions on supermanifolds and their structure reductions.

Funder

Grieg Foundation

UiT The Arctic University of Norway

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s00031-022-09706-y.pdf

Reference43 articles.

1. Alekseevsky, D. V., Cortés, V.: Classification of N-(super)-extended Poincaré algebras and bilinear invariants of the spinor representation of Spin(p,q). Comm. Math. Phys. 183, 477–510 (1997)

2. Alekseevsky, D., Cortés, V., Devchand, C., Semmelmann, U.: Killing spinors are killing vector fields in Riemannian supergeometry. J. Geom. Phys. 26(1–2), 37–50 (1998)

3. Altomani, A., Santi, A.: Classification of maximal transitive prolongations of super-Poincaré algebras. Adv. Math. 265, 60–96 (2014)

4. Balduzzi, L., Carmeli, C., Cassinelli, G.: Super vector bundles. J. Phys.: Conf. Ser. 284, 012010 (2011)

5. Batchelor, M.: The structure of supermanifolds. Trans. Am. Math. Soc. 253, 329–338 (1979)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Exceptionally simple super-PDE for F(4);Communications in Contemporary Mathematics;2023-11-17