finsler geometry, hypercomplex numbers and physics
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Finsler-Berwald space with very special relativity
2013jsz | Narasimhamurthy S.K., G.N. Latha Kumari  // Kuvempu University, Shimoga, Karnataka, India, nmurthysk@hotmail.com, nslathams@gmail.com

The symmetry of space time is described by using the so called isometric group. The generators of isometric group are directly connected with the Killing vectors [18]. In this paper, we present an explicit connection between the symmetries in the VSR and isometric group of Finsler space. The Killing vectors in Finsler space are constructed in a systematic way. Further, the solutions of Killing equations are present explicitly in the isometric symmetry of Finsler spaces. The Killing vectors of Finsler-Berwald space are given and we proved that the 4-dimensional Finsler-Berwald space with constant curvature has 15 independent Killing vectors.


English: Russian:
9_hngp20_narasimhamurthy.pdf, 92,404 Kb, PDF

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