Moving Coframes: II. Regularization and Theoretical Foundations

@article{Fels1999MovingCI,
  title={Moving Coframes: II. Regularization and Theoretical Foundations},
  author={M. Fels and P. Olver},
  journal={Acta Applicandae Mathematica},
  year={1999},
  volume={55},
  pages={127-208}
}
The primary goal of this paper is to provide a rigorous theoretical justification of Cartan’s method of moving frames for arbitrary finite-dimensional Lie group actions on manifolds. The general theorems are based a new regularized version of the moving frame algorithm, which is of both theoretical and practical use. Applications include a new approach to the construction and classification of differential invariants and invariant differential operators on jet bundles, as well as equivalence… Expand
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