S. K. Narasimhamurthy

Conformal Vector Fields on Finsler Space with Special (α , β )- Metric

N. Natesh, S. K. Narasimhamurthy & M. K. Roopa · Journal of Advances in Mathematics and Computer Science · 2019

In this paper, we study the conformal vector elds on a class of Finsler metrics. In particular Finsler space with special (α, β)- metric `F =\alpha +\frac{\beta^2}{\alpha} ` is dened in Riemannian metric α and 1-form β and its norm. Then we characterize the PDE's of conformal vec...

Open access Research Article 10.9734/jamcs/2019/v31i430117

On a Class of Curvature Properties of Projectively flat Finsler (α,β) -Metric

A. R. Kavyashree, Mallikarjun Y. Kumbar, S. K. Narasimhamurthy & H. Anjan Kumar · Current Journal of Applied Science and Technology · 2021

In this paper, we study a class of Finsler metric in the form \(F=\alpha+\beta+\frac{2 \beta^{2}}{\alpha}-\frac{\beta^{4}}{3 \alpha^{3}}\) where \(\alpha= \sqrt{a_{i j} y^{i} y^{j}}\) is a Riemannian metric, \(\beta=b_{i} y^{i}\) is a 1−form. We obtain a necessary and sufficient...

Open access Research Article 10.9734/cjast/2021/v40i4731635