Duality and Killing-Yano Equations
by
Dumitru Baleanu
JINR, Bogoliubov Laboratory of Theoretical Physics

A manifold which admits Killing-Yano tensors have non-generic symmetries.From a given Killing-Yano tensor we can construct a symmetric Killing tensor K_\mu\nu which is an independent constant of motion.

The new geometric duality was introduced recentlly by J.W. van Holten. For a given metric which admits a Killing tensor we can construct a dual metric.The formal similarity between Hamiltonian and the new constant of motion associated with the Killing tensor amount to a reciprocal relation between two differnt models: the model with the Hamiltonian and the constant of motion K and a model with constant of motion H and Hamiltonian K.

The symmetries of the dual metrics will be investigated in this this paper.The Killing_Yano equations was investigated and the general solutions was obtained.

BOGOLIUBOV LABORATORY OF THEORETICAL PHYSICS, 141980 DUBNA, Moscow Region, RUSSIA,

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Date received: April 12, 1998