Abstract
The present communication has mainly been divided into four sections of which the first section is introductory, the second section deals with R⁺- recurrent ћ∗ of order one. In this section we have derived results telling as to when a ⁺ї- ⨁ recurrent ћ∗ of order one will be R⁺ - ⨁ recurrent of order one,⁺ї - ⨁ recurrent ћ∗ of order one will be a ⁺ї-⨁ recurrent of order one. In this section we have also derived the Bianchi’s identity and few more identities which hold in a R⁺- recurrent ћ∗ of order one. The third section deals with R⁺- recurrent ћ∗ of order two. In this section we have observed that the recurrence tensor field љ is non-symmetric, few more relations and the Bianchi’s identity have been derived in a R⁺- recurrent ћ∗ of order two. In the fourth and the last section we have derived the conditions under which a Landsberg space in a ܆-Finsler space, a ܆- Finsler space is semi - P2- like, a ȗ- Finsler space is a ܆- Finsler space, a ܆ – Finsler space is P- symmetric, a ܆ - Finsler space is P2 like.