TL;DR
This paper extends Tanaka's finiteness theorem and inequality to general distributions and differential systems, broadening the scope of symmetry analysis in geometric structures.
Contribution
It generalizes Tanaka's results to arbitrary distributions, offering new tools for symmetry classification in differential geometry.
Findings
Extended Tanaka finiteness theorem to arbitrary distributions
Derived new inequalities for symmetry counts
Provided applications in geometric analysis
Abstract
In this paper we extend the Tanaka finiteness theorem and inequality for the number of symmetries to arbitrary distributions (differential systems) and provide several applications.
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