Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds
In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact 3 manifolds. Next we characterize vector fields which generate isometric and conformal symmetries in...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2015 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147019 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds / M. Grochowski, B. Warhurst // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 25 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862752636972826624 |
|---|---|
| author | Grochowski, M. Warhurst, B. |
| author_facet | Grochowski, M. Warhurst, B. |
| citation_txt | Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds / M. Grochowski, B. Warhurst // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact 3 manifolds. Next we characterize vector fields which generate isometric and conformal symmetries in general sub-Lorentzian manifolds. We then focus attention back to the case where the underlying manifold is a contact 3 manifold and more specifically when the manifold is also a Lie group and the structure is left-invariant.
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| first_indexed | 2025-12-07T21:17:31Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147019 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:17:31Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Grochowski, M. Warhurst, B. 2019-02-12T20:59:53Z 2019-02-12T20:59:53Z 2015 Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds / M. Grochowski, B. Warhurst // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 25 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53B30; 53A55; 34C14 DOI:10.3842/SIGMA.2015.031 https://nasplib.isofts.kiev.ua/handle/123456789/147019 In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact 3 manifolds. Next we characterize vector fields which generate isometric and conformal symmetries in general sub-Lorentzian manifolds. We then focus attention back to the case where the underlying manifold is a contact 3 manifold and more specifically when the manifold is also a Lie group and the structure is left-invariant. We would like to thank the referees for their thoughtful comments and careful reading of the
 paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds Article published earlier |
| spellingShingle | Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds Grochowski, M. Warhurst, B. |
| title | Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds |
| title_full | Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds |
| title_fullStr | Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds |
| title_full_unstemmed | Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds |
| title_short | Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds |
| title_sort | invariants and infinitesimal transformations for contact sub-lorentzian structures on 3-dimensional manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147019 |
| work_keys_str_mv | AT grochowskim invariantsandinfinitesimaltransformationsforcontactsublorentzianstructureson3dimensionalmanifolds AT warhurstb invariantsandinfinitesimaltransformationsforcontactsublorentzianstructureson3dimensionalmanifolds |