Existence h-principle for Engel structures
In this article we prove that the inclusion of the space of Engel structures of a smooth 4-manifold into the space of full flags of its tangent bundle induces surjections in all homotopy groups. In particular, we construct Engel structures representing any given full flag.
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer-Verlag
2018
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| Online Access: | http://hdl.handle.net/1721.1/115061 https://orcid.org/0000-0003-3004-6176 |
| _version_ | 1826211861999124480 |
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| author | Pérez, José L del Pino, Álvaro Presas, Francisco Pérez, José Luis Casals Gutierrez, Roger |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Pérez, José L del Pino, Álvaro Presas, Francisco Pérez, José Luis Casals Gutierrez, Roger |
| author_sort | Pérez, José L |
| collection | MIT |
| description | In this article we prove that the inclusion of the space of Engel structures of a smooth 4-manifold into the space of full flags of its tangent bundle induces surjections in all homotopy groups. In particular, we construct Engel structures representing any given full flag. |
| first_indexed | 2024-09-23T15:12:18Z |
| format | Article |
| id | mit-1721.1/115061 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:12:18Z |
| publishDate | 2018 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/1150612022-10-04T05:41:44Z Existence h-principle for Engel structures Pérez, José L del Pino, Álvaro Presas, Francisco Pérez, José Luis Casals Gutierrez, Roger Massachusetts Institute of Technology. Department of Mathematics Casals Gutierrez, Roger In this article we prove that the inclusion of the space of Engel structures of a smooth 4-manifold into the space of full flags of its tangent bundle induces surjections in all homotopy groups. In particular, we construct Engel structures representing any given full flag. 2018-04-27T19:30:46Z 2018-04-27T19:30:46Z 2017-05 2016-12 2017-11-18T05:56:58Z Article http://purl.org/eprint/type/JournalArticle 0020-9910 1432-1297 http://hdl.handle.net/1721.1/115061 Casals, Roger et al. “Existence h-Principle for Engel Structures.” Inventiones Mathematicae 210, 2 (May 2017): 417–451 © 2017 Springer-Verlag Berlin Heidelberg https://orcid.org/0000-0003-3004-6176 en http://dx.doi.org/10.1007/s00222-017-0732-6 Inventiones mathematicae Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer-Verlag Berlin Heidelberg application/pdf Springer-Verlag Springer Berlin Heidelberg |
| spellingShingle | Pérez, José L del Pino, Álvaro Presas, Francisco Pérez, José Luis Casals Gutierrez, Roger Existence h-principle for Engel structures |
| title | Existence h-principle for Engel structures |
| title_full | Existence h-principle for Engel structures |
| title_fullStr | Existence h-principle for Engel structures |
| title_full_unstemmed | Existence h-principle for Engel structures |
| title_short | Existence h-principle for Engel structures |
| title_sort | existence h principle for engel structures |
| url | http://hdl.handle.net/1721.1/115061 https://orcid.org/0000-0003-3004-6176 |
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