Rustanov A.R. Integrability Properties of NC10-Manifolds

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https://doi.org/10.15688/mpcm.jvolsu.2017.5.4

Aligadzhi Rabadanovich  Rustanov
Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Theoretical and Special Sociology, Institute of Socio-Humanitarian Education,
Moscow State Pedagogical University
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Prosp. Vernadsky, 88, 119571 Moscow, Russian Federation

Abstract. In this paper we investigate the integrability properties of NC₁₀-manifolds. In particular, it is shown that the integrable NC₁₀-structure, and also the normal NC₁₀-structure, is cosymplectic. It is  shown  that  NC₁₀-structure  with  a  closed  contact  form  is  finer  than cosymplectic. Local structures of investigated manifolds are given.

Key words: cosymplectic structure, integrable structure, approximately Kähler manifold, finitely cosymplectic structure, Nijenhuis tensor, normal structure, NC₁₀-manifold.

Integrability Properties of NC₁₀-Manifolds by Rustanov A.R. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Mathematical Physics and Computer Simulation. Vol. 20 No. 5 2017 pp. 32-38

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