SOME PROPERTIES OF A R-RANDERS QUARTIC SPACE

OTILIA LUNGU, VALER NIMINEŢ

"Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Calea Mărăşeşti 157, Bacău 600115, ROMANIA, email: olungu@ub.ro; valern@ub.ro

Abstract

It is well known that a Randers metric is a deformation of a Riemannian metric using a 1-form. In this paper we consider a deformation of a 4-th root metric (or a quartic metric) using the Riemannian metric. We call it a R-Randers quartic metric and we are going to study some of its properties.

Keywords

quartic Finsler space R-Randers quartic space curvature