Connection and Convariant Differentiations in fn and Curvature Tensors in 𝐹𝑛

Author(s): Dr. Pundreek Verma

Abstract:

Takano, K^[5] has studied the existence of existence of affine motion in a non –Riemannian K*-space has obtained several result of significance. He has also studied the existence of projective motion in a Riemannian space with bi-recurrent curvature. Pande, H.D. and Kumar. A^[3] have also discussed the special infinitesimal projective transformation in a Finsler space and have obtained certain theorms therien . In the present communication we have also derived the complete of a affine motion in a R+ - recurrent Finsler space. We have also derived the complete condition for the vanishing of £v 𝑅 j𝑘ℎ is the curvature tensor type entity with respect to the non- symmetric connection as has been introduced by Gupta ^[2].

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Pages: 62-64     |    4 View     |    0 Download