Conformal Killing equation on a 2-symmetric six-dimensional indecomposable Lorentzian manifold with trivial Weyl tensor

Authors

  • Maxim E. Gnedko Altai State University, 61 Lenina Avenue, Barnaul 656049, Russia
  • Olesya P. Khromova Altai State University, 61 Lenina Avenue, Barnaul 656049, Russia

Keywords:

conformal Killing vector field, k-symmetric space, Lorentzian manifold, Weyl tensor

Abstract

In this paper, we study the conformal analogue of the Killing equation on 2-symmetric six-dimensional indecomposable Lorentzian manifolds, and also study the properties of the conformal factor of this equation. For the case of conformally flat metrics, new non-trivial examples of conformal Killing vector fields with a variable conformal factor are constructed.

Author Biographies

  • Maxim E. Gnedko, Altai State University, 61 Lenina Avenue, Barnaul 656049, Russia

    assistant at the department of mathematical analysis, Institute of Mathematics and Information Technologies

  • Olesya P. Khromova, Altai State University, 61 Lenina Avenue, Barnaul 656049, Russia

    PhD (physics and mathematics), docent; associate professor at the department of mathematical analysis, Institute of Mathematics and Information Technologies

     

References

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Published

2026-01-04

Issue

No. 3 (2025): Journal of the Belarusian State University. Mathematics and Informatics

Section

Geometry and Topology

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Copyright (c) 2026 Journal of the Belarusian State University. Mathematics and Informatics

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How to Cite

[1]
Gnedko, M.E. and Khromova, O.P. 2026. Conformal Killing equation on a 2-symmetric six-dimensional indecomposable Lorentzian manifold with trivial Weyl tensor. Journal of the Belarusian State University. Mathematics and Informatics. 3 (Jan. 2026), 29–37.