2 citations · 3 across the 8 of their papers we have counts for
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math.DG2012
A Remark on Chern-Weil Theory
P. I. Katsylo
We show that Chern-Weil theory for tensor bundles over manifolds is a consequence of the existence of natural closed differential forms on total spaces of torsion free connections…
math.DG2006★ 1 cited
Natural differential operations on manifolds: an algebraic approach
Pavel I. Katsylo, Dmitri A. Timashev
We consider natural algebraic differential operations acting on geometric quantities over smooth manifolds. We introduce a method of study and classification of such operations, ca…
math.DG2003
On Curvatures of Sections of Tensor Bundles
P. I. Katsylo
We consider natural differential operations acting on sections of tensor vector bundles. Arrising problems can be reformulated as invariant theoretical problems (the IT-reduction).…