3-webs with singularities
A 3-web with singularities is an ordered collection of three one-dimensional distributions L1, L2, L3 on a 2-dimensional manifold M. The subset Σ ⊂ M where these distributions are not pairwise transversal is called the singularity set. Under some conditions on Σ we find the differential invariants o...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2016
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/9001
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/9001
- Palabra clave:
- 3-webs
G-structures
Singularity
- Rights
- restrictedAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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2020-03-26T16:32:44Z2020-03-26T16:32:44Z2016Lobachevskii Journal of Mathematics; Vol. 37, Núm. 1; pp. 1-2019950802https://hdl.handle.net/20.500.12585/900110.1134/S1995080216010029Universidad Tecnológica de BolívarRepositorio UTB57076963500570769382006507151476A 3-web with singularities is an ordered collection of three one-dimensional distributions L1, L2, L3 on a 2-dimensional manifold M. The subset Σ ⊂ M where these distributions are not pairwise transversal is called the singularity set. Under some conditions on Σ we find the differential invariants of the 3-web with singularities at the points of Σ and give examples of calculation of these invariants. © 2016, Pleiades Publishing, Ltd.Faculty of Arts and SciencesThis research was supported by the Vicerrector? a de Investigaciones and the Faculty of Sciences of the Universidad de los Andes.Recurso electrónicoapplication/pdfengMaik Nauka-Interperiodica Publishinghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/restrictedAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_16echttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84955449607&doi=10.1134%2fS1995080216010029&partnerID=40&md5=060c52ba7a60af32607a41afa407db113-webs with singularitiesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb13-websG-structuresSingularityArias Amaya, FabiánArteaga Bejarano J.R.Malakhaltsev M.Lazareva, V.B., Utkin, A.A., Shelekhov, A.M., (2012) J. of Mathematical Sciences, 174 (5), pp. 574-608Goldberg, V.V., Lychagin, V.V., (2006) J. Geom. Anal., 16 (1), pp. 69-115Wang, J.S., (2012) J. Geom. Anal., 22 (1), pp. 33-73Agafonov, S.I., (2009) J. Geom. Anal., 19, pp. 481-508Agafonov (2012) arXiv:1105.1402v3 [MathDG]Kobayashi, S., Nomizu, K., (1963) Foundations of Differential Geometry, , Wiley, New York, LondonSternberg, S., (1964) Lectures on Differential Geometry, , Prentice-Hall, Englewood CliffsMontgomery, R., (2002) A tour of Subriemannian Geometries, Their Geodesics and Applications, Mathematical Surveys and Monographs, , AMS, ProvidenceArteaga, J.R., Malakhaltsev, M.A., (2011) J. Geom. Phys, 61, pp. 290-308Ivey, T.A., Landsberg, J.M., (2003) Cartan for the Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, Graduate Studies in Mathematics, , Am. Math. Soc., Providence, RIhttp://purl.org/coar/resource_type/c_6501THUMBNAILMiniProdInv.pngMiniProdInv.pngimage/png23941https://repositorio.utb.edu.co/bitstream/20.500.12585/9001/1/MiniProdInv.png0cb0f101a8d16897fb46fc914d3d7043MD5120.500.12585/9001oai:repositorio.utb.edu.co:20.500.12585/90012023-05-25 11:41:45.188Repositorio Institucional UTBrepositorioutb@utb.edu.co |
| dc.title.none.fl_str_mv |
3-webs with singularities |
| title |
3-webs with singularities |
| spellingShingle |
3-webs with singularities 3-webs G-structures Singularity |
| title_short |
3-webs with singularities |
| title_full |
3-webs with singularities |
| title_fullStr |
3-webs with singularities |
| title_full_unstemmed |
3-webs with singularities |
| title_sort |
3-webs with singularities |
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3-webs G-structures Singularity |
| topic |
3-webs G-structures Singularity |
| description |
A 3-web with singularities is an ordered collection of three one-dimensional distributions L1, L2, L3 on a 2-dimensional manifold M. The subset Σ ⊂ M where these distributions are not pairwise transversal is called the singularity set. Under some conditions on Σ we find the differential invariants of the 3-web with singularities at the points of Σ and give examples of calculation of these invariants. © 2016, Pleiades Publishing, Ltd. |
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2016 |
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2016 |
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2020-03-26T16:32:44Z |
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2020-03-26T16:32:44Z |
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Artículo |
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Lobachevskii Journal of Mathematics; Vol. 37, Núm. 1; pp. 1-20 |
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19950802 |
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https://hdl.handle.net/20.500.12585/9001 |
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10.1134/S1995080216010029 |
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Universidad Tecnológica de Bolívar |
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Repositorio UTB |
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57076963500 57076938200 6507151476 |
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Lobachevskii Journal of Mathematics; Vol. 37, Núm. 1; pp. 1-20 19950802 10.1134/S1995080216010029 Universidad Tecnológica de Bolívar Repositorio UTB 57076963500 57076938200 6507151476 |
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https://hdl.handle.net/20.500.12585/9001 |
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eng |
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Maik Nauka-Interperiodica Publishing |
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Maik Nauka-Interperiodica Publishing |
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