Symmetries of Supergeometries Related to Nonholonomic Superdistributions

被引:0
|
作者
B. Kruglikov
A. Santi
D. The
机构
[1] UiT The Arctic University of Norway,Department of Mathematics and Statistics
来源
Transformation Groups | 2024年 / 29卷
关键词
D O I
暂无
中图分类号
学科分类号
摘要
We 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.
引用
收藏
页码:179 / 229
页数:50
相关论文
共 50 条
  • [1] Symmetries of Supergeometries Related to Nonholonomic Superdistributions
    Kruglikov, B.
    Santi, A.
    The, D.
    TRANSFORMATION GROUPS, 2024, 29 (01) : 179 - 229
  • [2] Realization of Lie superalgebras G(3) and F(4) as symmetries of supergeometries
    Kruglikov, Boris
    Llabres, Andreu
    JOURNAL OF ALGEBRA, 2025, 664 : 468 - 497
  • [3] Symmetries and Reduction in Nonholonomic Mechanics
    Borisov, Alexey V.
    Mamaev, Ivan S.
    REGULAR & CHAOTIC DYNAMICS, 2015, 20 (05): : 553 - 604
  • [4] Symmetries and reduction in nonholonomic mechanics
    Alexey V. Borisov
    Ivan S. Mamaev
    Regular and Chaotic Dynamics, 2015, 20 : 553 - 604
  • [5] Regularity and symmetries of nonholonomic systems
    Gràcia, X
    Martín, R
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (05): : 1071 - 1087
  • [6] Nonholonomic Noether theorem and reduction of symmetries
    Sniatycki, J
    REPORTS ON MATHEMATICAL PHYSICS, 1998, 42 (1-2) : 5 - 23
  • [7] GEOMETRIC DISCRETIZATION OF NONHOLONOMIC SYSTEMS WITH SYMMETRIES
    Kobilarov, Marin
    Marsden, Jerrold E.
    Sukhatme, Gaurav S.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2010, 3 (01): : 61 - 84
  • [8] Reduction of nonholonomic mechanical systems with symmetries
    Cantrijn, F
    de León, M
    Marrero, JC
    de Diego, DM
    REPORTS ON MATHEMATICAL PHYSICS, 1998, 42 (1-2) : 25 - 45
  • [9] First Integrals and Symmetries of Nonholonomic Systems
    Paula Balseiro
    Nicola Sansonetto
    Archive for Rational Mechanics and Analysis, 2022, 244 : 343 - 389
  • [10] First Integrals and Symmetries of Nonholonomic Systems
    Balseiro, Paula
    Sansonetto, Nicola
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 244 (02) : 343 - 389