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math.DG2003★ 40 cited
Ricci-corrected derivatives and invariant differential operators
David M. J. Calderbank, Tammo Diemer, Vladimir Soucek
We introduce the notion of Ricci-corrected differentiation in parabolic geometry, which is a modification of covariant differentiation with better transformation properties. This e…
math.DG2000
Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
David M. J. Calderbank, Tammo Diemer
We give a simple construction of the Bernstein-Gelfand-Gelfand sequences of natural differential operators on a manifold equipped with a parabolic geometry. This method permits us…