REPRESENTATION OF THE LIE GROUP OF AUTOMORPHISMS OF AN ALMOST
r-PARACONTACT RIEMANNIAN MANIFOLD OF P-SASAKIAN TYPE

A. BUCKI

Key words: Almost r-paracontact structures of P-Sasakian type, group of
automorphisms, representation of Lie group.

1991 Math. Subject Classification: 53C15, 57S20, 20G05.

Abstract: In this paper the examples of Lie groups and Lie
algebras on an almost r-paracontact Riemannian manifold $M_n$
of P-Sasakian type are presented and their maximum dimensions
are determined. It is proven that the set of all automorphisms
of $M_n$ is a Lie group, and the example of an almost r-paracontact
Riemannian manifold of P-Sasakian type with the group of
automorphisms of the maximum dimension is constructed.
Finally, some representation of the group of automorphisms
of an almost r-paracontact Riemannian
manifold of P-Sasakian type is presented.