Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold
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Date
2020-12
Authors
Arias, F.A
Malakhaltsev, M.
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Abstract
A contact structure on a three-dimensional manifold is a two-dimensional distribution on this manifold which satisfies the condition of complete non-integrability. If the distribution fails to satisfy this condition at points of some submanifold, we have a contact structure with singularities. The singularities of contact structures were studied by J. Martinet, B. Jakubczyk and M. Zhitomirskii. We consider a contact structure with singularities as a G-structure with singularities, we find some topological and differential invariants of singularities of contact structure and establish their relation to the invariants found by B. Jakubczyk and M. Zhitomirskii. © 2020, Pleiades Publishing, Ltd.
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Arias, F.A., Malakhaltsev, M. Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold. Lobachevskii J Math 41, 2415–2426 (2020). https://doi.org/10.1134/S1995080220120070