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The Killing–Yano Tensor

S. E. Stepanov

Vladimir State Pedagogical University

Abstract: We obtain a general solution of the equations determining the Killing–Yano tensor of rank $p$ on an $n$-dimensional $(1\leqslant p\leqslant n-1)$ pseudo-Riemannian manifold of constant curvature and discuss possible applications of the obtained result.

Keywords: constant curvature manifold, Killing–Yano tensor, Maxwell equations, Dirac equations.

Received: 27.02.2002
Revised: 03.04.2002

DOI: 10.4213/tmf170

 English version: Theoretical and Mathematical Physics, 2003, 134:3, 333–338

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