Lax Tensors, Killing Tensors and Geometric Duality

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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9 pages LATEX

Scientific paper

10.1142/S0217732399002716

The solution of the Lax tensor equations in the case
$L_{\alpha\beta\gamma}=-L_{\beta\alpha\gamma}$ was analyzed. The Lax tensors on
the dual metrics were investigated. We classified all two dimensional metrics
having the symmetric Lax tensor $L_{\alpha\beta\gamma}$. The Lax tensors of the
flat space, Rindler system and its dual were found.

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