A SASAKIAN STRUCTURE ON THE INDICATRIX BUNDLE OF A FINSLER SPACE WITH THE CHERN-RUND CONNECTION

Shigeo Fueki (Japan) and Hiroshi Endo (Japan)

Received February 25, 2008

Abstract

Let be a Finsler space endowed with the Cartan connection. Anastasiei [2] showed that a structure on the indicatrix bundle IM in is Sasakian iff a Finsler space is of constant curvature 1. For a Finsler space with the Chern-Rund connection, we shall get an analogy about the result of Anastasiei.

Keywords and phrases: Finsler manifold (space), indicatrix bundle, Chern-Rund connection, framed f-structure, Sasaki type metric.