A. Heydari, N. Boroojerdian and E. Peyghan
Address.
Department of Mathematics and Computer Science, Amirkabir University
of Technology (Tehran Polytechnic), Tehran, Iran
E-mail:
a_heydari@aut.ac.ir,
broojerd@aut.ac.ir,
e_peyghan@aut.ac.ir
Abstract.
In this paper
the symmetric differential and symmetric Lie
derivative are introduced. Using these tools derivations of the algebra of symmetric tensors are classified.
We also define
a Fr\"{o}licher-Nijenhuis bracket for vector valued
symmetric tensors.
AMSclassification. 53C99, 53A99, 58A99.
Keywords. Derivation, Fr\"{o}licher-Nijenhius bracket, symmetric differential, symmetric Lie derivative, symmetric tensor.