NONCOMMUTATIVE DIFFERENTIAL GEOMETRY WITH HIGHER-ORDER DERIVATIVES

被引:1
|
作者
SITARZ, A
机构
[1] Department of Field Theory, Institute of Physics, Jagiellonian University, Kraków, 30-059
关键词
Mathematics Subject Classifications (1991): 46L87; 58B30;
D O I
10.1007/BF00761145
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We build a toy model of differential geometry on the real line, which includes derivatives of the second order. Such construction is possible only within the framework of noncommutative geometry. We introduce the metric and briefly discuss two simple physical models of scalar field theory and gauge theory in this geometry.
引用
收藏
页码:357 / 363
页数:7
相关论文
共 50 条
  • [41] HIGHER-ORDER DERIVATIVES OF A RATIONAL BEZIER CURVE
    WANG, GZ
    WANG, GJ
    [J]. GRAPHICAL MODELS AND IMAGE PROCESSING, 1995, 57 (03): : 246 - 253
  • [42] Subordination for Higher-Order Derivatives of Multivalent Functions
    Rosihan M. Ali
    Abeer O. Badghaish
    V. Ravichandran
    [J]. Journal of Inequalities and Applications, 2008
  • [43] Higher-order derivatives in linear and quadratic programming
    Corradi, G
    [J]. COMPUTERS & OPERATIONS RESEARCH, 2001, 28 (03) : 209 - 222
  • [44] Fuzzy Aboodh transform for higher-order derivatives
    Alshibley, Samer Thaaban Abaas
    Alkiffai, Ameera Nema
    Albukhuttar, Athraa Neamah
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 1905 - 1911
  • [45] Radu Miron: The geometry of higher-order Hamilton spaces
    Sergiu I. Vacaru
    [J]. General Relativity and Gravitation, 2005, 37 (8) : 1483 - 1485
  • [46] Continua with microstructure modelled by the geometry of higher-order contact
    Saczuk, J
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2001, 38 (6-7) : 1019 - 1044
  • [47] Viability theorems for higher-order differential inclusions
    Marco, L
    Murillo, JA
    [J]. SET-VALUED ANALYSIS, 1998, 6 (01): : 21 - 37
  • [48] THE VIRIAL THEOREM FOR HIGHER-ORDER DIFFERENTIAL OPERATORS
    Behncke, Horst
    Hinton, Don
    [J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2012, 25 (9-10) : 915 - 937
  • [49] Viability Theorems for Higher-Order Differential Inclusions
    Luis Marco
    J. Alberto Murillo
    [J]. Set-Valued Analysis, 1998, 6 : 21 - 37
  • [50] Intermediate Systems and Higher-Order Differential Constraints
    Kaptsov, Oleg V.
    [J]. JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2018, 11 (05): : 550 - 560