Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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The geometry of Riemannian space of the second approximation

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pdf (Русский)
Published Feb 13, 2020
DOI https://doi.org/10.15673/tmgc.v8i3-4.1607

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Сергей Михайлович Покась
Odessa National University named after Mechnikov I.I.
Алина Витальевна Крутоголова
Odessa National University named after Mechnikov I.I.

Abstract

For Riemannian space of non-zero constant curvature Vn we constructed the approximation of the second order - V2n space. Also we proved, that the V2n space is the subprojective space of V. F. Kagan. We got the expression of components of Killing’s vector explicitly for V2n space.

Keywords:
Subprojective Riemannian space, Lie groups of motions

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How to Cite
Покась, С., & Крутоголова, А. (2020). The geometry of Riemannian space of the second approximation. Proceedings of the International Geometry Center, 8(3-4), 53-59. https://doi.org/10.15673/tmgc.v8i3-4.1607
Issue
Vol 8 No 3-4 (2015)
Section
Papers

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Author Biographies

Сергей Михайлович Покась, Odessa National University named after Mechnikov I.I.

IMEM, department of geometry and topology

Алина Витальевна Крутоголова, Odessa National University named after Mechnikov I.I.

IMEM, department of geometry and topology

References

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