The Killing algebra of a Minkowskian space

Authors

  • M. Crampin Orchard Rising, Herrings Lane, Burnham Market, Norfolk, UK

DOI:

https://doi.org/10.17398/

Keywords:

Minkowski, Killing

Abstract

I describe the structure of the Lie algebra of Killing vector fields of the metric derived from a Minkowski norm on Rn0, and discuss some applications. 

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References

[1] D. Bao, S.-S. Chern, Z. Shen, “An introduction to Riemann-Finsler geometry”, Grad. Texts in Math., 200, Springer-Verlag, New York, 2000.

[2] M. Crampin, The current state of play in the Landsberg-Berwald problem of Finsler geometry, Extracta Math. 39 (1) (2024), 57 – 95, Appendix F.

[3] S. Deng, Z. Hou, The group of isometries of a Finsler space, Pacific J. Math. 207 (1) (2002), 149 – 155.

[4] S. Deng, M. Xu, (α1 , α2 )-metrics and Clifford-Wolf homogeneity, J. Geom. Anal. 26 (3) (2016), 2282 – 2321.

[5] L. Kozma, S.G. Elgendi, On the existence of parallel one forms, Int. J. Geom. Methods Mod. Phys. 20 (7) (2023), Paper No. 2350118, 16 pp.

[6] J. Szilasi, R.L. Lovas, D.Cs. Kertész, “Connections, sprays and Finsler structures”, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2014.

[7] M. Xu, V.S. Matveev, Proof of Laugwitz conjecture and Landsberg unicorn conjecture for Minkowski norms with SO(k) × SO(n − k)-symmetry, Canad. J. Math. 74 (5) (2022), 1486 – 1516.

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Published

2026-11-10

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Articles in press

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Articles in press

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Copyright (c) 2026 The author

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How to Cite

The Killing algebra of a Minkowskian space. (2026). Extracta Mathematicae, 33 pp. https://doi.org/10.17398/