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The Killing vector and the generalised Killing equation in Finsler space

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Summary

Recently we have studied the infinitesimal deformation in Finsler space [8] (1). Here we have obtained the necessary and sufficient condition for the infinitesimal change to become a motion in Finsler space. The condition is termed as the generalised Killing equation and the vector\(v^i \left( {x, \dot x} \right)\) occurring in this motion has been called the Killing vector. Various alternative forms of this equation have also been obtained. These forms are the generalisations of the corresponding equations obtained by Hokari [5], Knebelman [6] and Soós [10].

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  1. Allahabad, India

    R. B. Misra & R. S. Mishra

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  1. R. B. Misra
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  2. R. S. Mishra
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Misra, R.B., Mishra, R.S. The Killing vector and the generalised Killing equation in Finsler space. Rend. Circ. Mat. Palermo 15, 216–222 (1966). https://doi.org/10.1007/BF02849437

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