About duality and Killing tensors. (English) Zbl 0970.83012

Baleanu, Dumitru

Slovák, Jan (ed.) et al., The proceedings of the 19th Winter School “Geometry and physics”, Srní, Czech Republic, January 9-15, 1999. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 63, 57-61 (2000).

Summary: In this paper the isometries of the dual space were investigated. The dual structural equations of a Killing tensor of order two were found. The general results are applied to the case of the flat space.
For the entire collection see [Zbl 0940.00040].

MSC:

83C15	Exact solutions to problems in general relativity and gravitational theory
53A45	Differential geometric aspects in vector and tensor analysis

Keywords:

Killing tensors; new exact solutions; perfect fluid Bianchi; Katowski-Sachs cosmologies; inflationary models; scalar field sources