Difference discrete connection and curvature on cubic lattice

DOI10.1007/s11425-006-2060-yzbMath1115.39023arXiv0707.3741OpenAlexW2050952678MaRDI QIDQ867809

Ke Wu, Wei-Zhong Zhao, Han Ying Guo

Publication date: 16 February 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3741

zbMATH Keywords

lattice gauge theoryrandom latticediscrete integrable systemsdiscrete curvaturediscrete connectiondiscrete Lax pairnoncommutative calculus

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Noncommutative geometry methods in quantum field theory (81T75) Discrete version of topics in analysis (39A12) Difference operators (39A70) Topological lattices (06B30)

Related Items (8)

Differential form method for finding symmetries of a \((2+1)\)-dimensional Camassa-Holm system based on its Lax pair ⋮ On geometric approach to Lie symmetries of differential-difference equations ⋮ LIE SYMMETRIES OF TWO (2+1)-DIMENSIONAL DIFFERENTIAL-DIFFERENCE EQUATIONS BY GEOMETRIC APPROACH ⋮ Exterior difference system on hypercubic lattice ⋮ LIE SYMMETRIES OF TWO (2+1)-DIMENSIONAL TODA-LIKE LATTICES BY THE EXTENDED DIFFERENTIAL FORM METHOD ⋮ On differential form method to find Lie symmetries of two types of Toda lattices ⋮ Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach ⋮ Formal integrability criteria for nonlinear partial difference equations

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