Difference Discrete Connection and Curvature on Cubic Lattice

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dc.creatorWu, Ke
dc.creatorZhao, Wei-Zhong
dc.creatorGuo, Han-Ying
dc.date2007-07-25
dc.date.accessioned2026-07-07T08:20:13Z
dc.date.available2026-07-07T08:20:13Z
dc.descriptionIn a way similar to the continuous case formally, we define in different but equivalent manners the difference discrete connection and curvature on discrete vector bundle over the regular lattice as base space. We deal with the difference operators as the discrete counterparts of the derivatives based upon the differential calculus on the lattice. One of the definitions can be extended to the case over the random lattice. We also discuss the relation between our approach and the lattice gauge theory and apply to the discrete integrable systems.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0707.3741
dc.identifierhttp://arxiv.org/abs/0707.3741
dc.identifierScience in China Series A: Mathematics 49(2006)1458
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135011
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleDifference Discrete Connection and Curvature on Cubic Lattice
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