On Homeomorphism Between Euclidean Subspace and Conformally Euclidean Manifold

Authors

  • Ashot S. Gevorkyan Institute for Informatics and Automation Problems of NAS RA;Institute of Chemical Physics after A. B. Nalbandyan of NAS RA
  • Alek A. Aleksanyan Institute for Informatics and Automation Problems of NAS RA
  • Suren B. Alaverdyan Institute for Informatics and Automation Problems of NAS RA

DOI:

https://doi.org/10.51408/1963-0037

Keywords:

System of underdetermined algebraic equations, s, Orientated 3D Riemannian manifold, Topology of 3D manifolds

Abstract

The article presents the proof of the homeomorphism between Euclidean subspace E6of the classical three-body system and 6D Riemannian manifold M, which allows reducing the dynamical problem to the system of the 6th-order

 

References

E. A. Ayryan, A. S. Gevorkyan and L. A. Sevastyanova, “On the motion of a three body system on hypersurface of proper energy”, Physics of Particles and Nuclei Letters, vol.10, no. 7, pp. 1-8, 2013.

A. S. Gevorkyan, “On reduction of the general three-body Newtonian problem and the curved geometry”, Journal of Physics: Conference Series, 496, 012030, 2014.

A. S. Gevorkyan, “On the motion of classical three-body system with consideration of quantum fluctuations”, Physics of Atomic Nuclei, vol. 80, no. 2, pp. 358-365, 2017.

A. S. Gevorkyan, “Fundamental irreversibility and times arrow of the classical threebody problem. New approaches and ideas in the study of dynamical systems”. arXiv:1706.09827v2[math-ph] 13 Dec 2017.

A. S. Gevorkyan, “Is the Hamiltonian mechanics and in general classical mechanics reversible?”, Book of abstracts, International Conference Dedicated to the 120th Anniversary of Emil Artin, Yerevan, Armenia, May 27-June 2, pp. 58-59, 2018.

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Published

2021-12-10

How to Cite

Gevorkyan, A. S., Aleksanyan, . A. A., & Alaverdyan, . S. B. (2021). On Homeomorphism Between Euclidean Subspace and Conformally Euclidean Manifold. Mathematical Problems of Computer Science, 51, 98–106. https://doi.org/10.51408/1963-0037

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