Difference Discrete Connection and Curvature on Cubic Lattice

Date
Authors
Wu, Ke
Zhao, Wei-Zhong
Guo, Han-Ying
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
In 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.
Comment: 29 pages
Keywords
Mathematical Physics, Mathematics - Differential Geometry
Citation
Collections