Some classes of projectively and dually flat Finsler spaces with Randers change

Gauree Shanker; Sarita Rani; Kirandeep Kaur

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arXiv · 1712.07865

Some classes of projectively and dually flat Finsler spaces with Randers change

Gauree Shanker·Sarita Rani·Kirandeep Kaur

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Abstract

In this paper, we consider Randers change of some special $ (α, β)- $ metrics. First we find the fundamental metric tensor and Cartan tensor of these Randers changed $ (α, β)- $metrics. Next, we establish a general formula for inverse of fundamental metric tensors of these metrics. Finally, we find the necessary and sufficient conditions under which the Randers change of these $ (α, β)- $ metrics are projectively and locally dually flat.

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BibTeX RIS

Gauree Shanker, Sarita Rani, Kirandeep Kaur. 2017-12-21. Some classes of projectively and dually flat Finsler spaces with Randers change. https://arxiv.org/abs/1712.07865

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