Nonlinear connections and supersprays in supermanifolds

被引：1
|
作者：
Esrafilian, E [1 ]
Azizpour, E [1 ]
机构：
[1] Iran Univ Sci & Technol, Dept Math, Tehran, Iran
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2004年 / 54卷 / 03期
关键词：
tangent superbundle; nonlinear connection; Finsler superspace; superspray;
D O I：
10.1016/S0034-4877(04)80025-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that every superspray on a supermanifold determines a nonlinear connections and vice versa. By using this method one gets a sequence of supersprays via nonlinear connections associated with them.
引用
收藏
页码：365 / 372
页数：8
相关论文
共 50 条
  • [1] Multisymplectic connections on supermanifolds
    Aminizadeh, Masoud
    Ghotbaldini, Mina
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (04): : 597 - 601
  • [2] Quillen superconnections and connections on supermanifolds
    Beltran, Jose V.
    Monterde, Juan
    Vallejo, Jose A.
    JOURNAL OF GEOMETRY AND PHYSICS, 2014, 86 : 180 - 193
  • [3] Odd connections on supermanifolds: existence and relation with affine connections
    Bruce, Andrew James
    Grabowski, Janusz
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (45)
  • [4] Symplectic connections and Fedosov's quantization on supermanifolds
    Vallejo, Jose A.
    7TH INTERNATIONAL CONFERENCE ON QUANTUM THEORY AND SYMMETRIES (QTS7), 2012, 343
  • [5] Symplectic connections on supermanifolds: Existence and non-uniqueness
    Blaga, Paul A.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2013, 58 (04): : 477 - 483
  • [6] INTEGRABLE SUPERMANIFOLDS AND ASSOCIATED NONLINEAR EQUATIONS
    SAVELEV, MV
    THEORETICAL AND MATHEMATICAL PHYSICS, 1984, 59 (03) : 560 - 563
  • [7] GRADED SUPERMANIFOLDS AND NONLINEAR SIGMA-MODELS
    KOWALSKIGLIKMAN, J
    VANHOLTEN, JW
    NUCLEAR PHYSICS B, 1987, 283 (1-2) : 305 - 316
  • [8] Exact classical solutions of nonlinear sigma models on supermanifolds
    Sasaki, Ryu
    Yang, Wen-Li
    Zhang, Yao-Zhong
    NUCLEAR PHYSICS B, 2007, 772 (03) : 371 - 384
  • [9] Supermanifolds
    Kessler, Enno
    SUPERGEOMETRY, SUPER RIEMANN SURFACES AND THE SUPERCONFORMAL ACTION FUNCTIONAL, 2019, 2230 : 41 - 66
  • [10] SUPERMANIFOLDS
    BEREZIN, FA
    LEITES, DA
    DOKLADY AKADEMII NAUK SSSR, 1975, 224 (03): : 505 - 508
12345