ON DOUGLAS SPACE WITH AN APPROXIMATE INFINITE SERIES (？？; ¯){METRIC

• 발행기관: 충청수학회
• 저자명: Il Yong Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 699~716쪽, 전체 18쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

We deal with a Finsler space Fn with an approximate in¯nite series (？？; ¯)-metric L(？？; ¯) = ¯Pr k=0¡？？ ¯¢k, where ？？ < ¯. We introduced a Finsler space Fn with an in¯nite series (？？; ¯)-metric L(？？; ¯) =¯2 ¯ ¡ ？？ and investigated various geometrical properties at [6]. The purpose of the present paper is devoted to ¯nding the condition for a Finsler space Fn with an approximate in¯nite series (？？; ¯)-metric above to be a Douglas space.

목차

1. Introduction

2. Preliminaries

3. Douglas space

References