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періодичних видань НАН України
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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| dc.contributor.author | Zelenko, I. | |
| dc.date.accessioned | 2019-02-19T17:26:41Z | |
| dc.date.available | 2019-02-19T17:26:41Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type / I. Zelenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 14 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 58A30; 58A17 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149109 | |
| dc.description.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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. I would like to thank my colleagues Joseph Landsberg, Colleen Robles, and Dennis The for encouraging me to give these lectures, and Boris Doubrov for stimulating discussions. I am also very grateful to the anonymous referees for numerous useful suggestions and corrections. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
