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

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.

authors

• Zelenko, Igor

published proceedings

• SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

author list (cited authors)

• Zelenko, I.

citation count

• 21

complete list of authors

• Zelenko, Igor

publication date

• October 2009

publisher

• SIGMA (Symmetry, Integrability and Geometry: Methods and Application)  Publisher

published in

• Symmetry, Integrability and Geometry: Methods and Applications  Journal

keywords

• Filtered Structures
• G-structures
• Generalized Spencer Operator
• Prolongations

Digital Object Identifier (DOI)

• 10.3842/SIGMA.2009.094

start page

• 21

volume

• 5

URL

• http://dx.doi.org/10.3842/sigma.2009.094