C2 – LIKE AND P2 – LIKE FINSLER SPACES

Abstract

In the present communication certain properties of C2- like Finsler space have been studied. Necessary and sufficient conditions have been derived under which a C2-like Finsler space is a Landsberg space along with that a C2- like Finsler space is a - Finsler space and a C2- like Finsler space is P2- like. In the last section of this communication studies have been carried out in a “Semi P2 - like” Finsler space. The necessary and sufficient conditions under which a semi P2 - like Finsler space is a Landsberg space, a non- Landsberg - Finsler space is semi P2- like, a non- Lendsberg P2- like Finsler space is semi P2 like, a semi P2 like Finsler Space is P- symmetric have been derived.