On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2009 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149109 |
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| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149109 |
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Zelenko, I. 2019-02-19T17:26:41Z 2019-02-19T17:26:41Z 2009 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. 1815-0659 2000 Mathematics Subject Classification: 58A30; 58A17 https://nasplib.isofts.kiev.ua/handle/123456789/149109 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type |
| spellingShingle |
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type Zelenko, I. |
| title_short |
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type |
| title_full |
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type |
| title_fullStr |
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type |
| title_full_unstemmed |
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type |
| title_sort |
on tanaka's prolongation procedure for filtered structures of constant type |
| author |
Zelenko, I. |
| author_facet |
Zelenko, I. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149109 |
| citation_txt |
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. |
| work_keys_str_mv |
AT zelenkoi ontanakasprolongationprocedureforfilteredstructuresofconstanttype |
| first_indexed |
2025-12-07T13:22:09Z |
| last_indexed |
2025-12-07T13:22:09Z |
| _version_ |
1850855894523314176 |