Strictly convex functions on complete Finsler manifolds

Proceedings Mathematical Sciences

KATSUHIRO SHIOHAMA²  BANKTESHWAR TIWARI¹  YOE ITOKAWA³ 

[1] DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi 00, India$$;Institute of Information Science, Fukuoka Institute of Technology, Fukuoka –0, Japan$$;Department of Information and Communication Engineering, Fukuoka Institute of Technology, Fukuoka –0, Japan$$

关键词: Finsler manifolds;    convex functions;    isometries;    geodesics;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The purpose of the present paper is to investigate the influence of strictly convex functions on the metric structures of complete Finsler manifolds. More precisely we discuss the properties of the group of isometries and the exponential maps on a complete Finsler manifold admitting strictly convex functions.

【 授权许可】

Unknown