Research articles

Invariant characteristics of special compositions in Weyl spaces $W_N$

Georgi Zlatanov, Bistra Tsareva

Plovdiv University "Paisii Hilendarski", Faculty of Mathematics and Informatics, 24 "Tzar Assen" str., Plovdiv 4000, Bulgaria

Abstract: In the present paper invariant characteristics of geodesic, chebyshevian and quasi-chebyshevian compositions $X_{n_1}\times X_{n_2}\times\dots\times X_{n_p}$ in Weyl spaces $W_N(n_1+n_2+\dots+n_p=N)$ are found with the help of the prolonged covariant differentiation. The characteristics of the spaces $W_N$ which contain such special compositions are found.

Keywords and phrases: Weyl space, net, composition, prolonged covariant differentiation, chebyshevian, geodesic, quasi-shebyshevian compositions.

MSC: 53A40, 53A55

Received: 22.02.2012

Language: English