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arXiv · 0906.0560

On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type

Igor Zelenko
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Abstract

We present Tanaka's prolongation procedure for filtered structures on manifolds discovered in [Tanaka N., J. Math. Kyoto. Univ. 10 (1970), 1-82] in a spirit of Singer-Sternberg's description of the prolongation of usual G-structures [Singer I.M., Sternberg S., J. Analyse Math. 15 (1965), 1-114; Sternberg S., Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964]. This approach gives a transparent point of view on the Tanaka constructions avoiding many technicalities of the original Tanaka paper.

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Igor Zelenko. 2009-10-06. On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type. https://doi.org/10.3842/sigma.2009.094

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