Symplectic connections on supermanifolds: Existence and non-uniqueness

被引：0
|
作者：
Blaga, Paul A. [1 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, 1 Kogalniceanu St, Cluj Napoca 400084, Romania
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2013年 / 58卷 / 04期
关键词：
Symplectic supermanifolds; symplectic connections;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show, in this note, that on any symplectic supermanifold, even or odd, there exist an infinite dimensional affine space of symmetric connections, compatible to the symplectic form.
引用
收藏
页码：477 / 483
页数：7
相关论文
共 50 条
  • [41] Complexity, Networks, and Non-Uniqueness
    Alan Baker
    Foundations of Science, 2013, 18 : 687 - 705
  • [42] Non-uniqueness and instability of ‘ankylography’
    Ge Wang
    Hengyong Yu
    Wenxiang Cong
    Alexander Katsevich
    Nature, 2011, 480 : E2 - E3
  • [43] NON-UNIQUENESS IN ELASTOPLASTIC ANALYSIS
    TINLOI, F
    WONG, MB
    MECHANICS OF STRUCTURES AND MACHINES, 1989, 16 (04): : 423 - 437
  • [44] Uniqueness and non-uniqueness in the non-axisymmetric direction problem
    Kaiser, R.
    QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2012, 65 (03): : 347 - 360
  • [45] Symplectic geometries on supermanifolds
    Lavrov, P. M.
    Radchenko, O. V.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (09): : 1337 - 1350
  • [46] Uniqueness and non-uniqueness in acoustic tomography of moving fluid
    Agaltsov, Alexey D.
    Novikov, Roman G.
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2016, 24 (03): : 333 - 340
  • [47] NON-UNIQUENESS IN PLANE FLUID FLOWS
    Gimperlein, Heiko
    Grinfeld, Michael
    Knops, Robin J.
    Slemrod, Marshall
    QUARTERLY OF APPLIED MATHEMATICS, 2024, 82 (03) : 535 - 561
  • [48] Non-uniqueness in G-measures
    Dooley, A. H.
    Rudolph, Daniel J.
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2012, 32 : 575 - 586
  • [49] Non-uniqueness in a free boundary problem
    Bennewitz, Bjoern
    REVISTA MATEMATICA IBEROAMERICANA, 2008, 24 (02) : 567 - 595
  • [50] On the non-uniqueness of the electromagnetic instantaneous response
    Gustafsson, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (06): : 1743 - 1758
12345