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Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds
Інший ID:
2010 Mathematics Subject Classification: 53B30; 53A55; 34C14
DOI:10.3842/SIGMA.2015.031
DOI:10.3842/SIGMA.2015.031
Посилання:
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.
Підтримка:
We would like to thank the referees for their thoughtful comments and careful reading of the
paper.
Дата:
2015
Переглядів:
489
Завантажень:
243
Анотація:
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.
