CHARACTERISTIC PROPERTIES OF THE INDICATRIX GIVEN BY A RANDERS CHANGE

RYOTA SHIMIZU(1), MASASHI KITAYAMA(2)

1. Shiranuka High School, Shiranuka, Hokkaido 088-0323, JAPAN
2. Department of Mathematics, Kushiro Campus, Hokkaido, University of Education, Kushiro, Hokkaido 085-8580, JAPAN

Abstract

C. Shibata [6] investigated the theory of a change which was called a β-change of Finsler metric. We study the behavior of indicatrices given by special β-changes, in particular by a Randers change.

Keywords

Finsler space β-change of Finsler metric Randers change