IJPAM: Volume 44, No. 2 (2008)

$\alpha$-METRICALLY CHEBYSHEV CONFORMAL
MOTIONS IN RIEMANNIAN SPACES

S. Aynur Uysal$^1$, R. Ozlem Laleoglu$^2$
$^1$Department of Mathematics
Dogus University
Kadikoy, Istanbul, 34722, TURKEY
e-mail: auysal@dogus.edu.tr
$^2$Department of Mathematics
Faculty of Sciences
Porto University
Porto, PORTUGAL
e-mail: rojbinl@gmail.com


Abstract.In this paper we introduced $\alpha$-metrically Chebyshev nets in a Riemannian manifold with semi-symmetric metric connection. We also studied conformal motions with trajectories defined by the components of these nets in Riemannian spaces with Riemannian connection and with semi-symmetric metric connection.

Received: February 22, 2008

AMS Subject Classification: 53A30, 53A60, 53B20

Key Words and Phrases: Riemannian space, Chebyshev net, conformal motion, connection

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 44
Issue: 2