Indicatrix Given by a Square Change of (α, β)-metric

Mohammad Rafee¹ , Avdhesh Kumar² , G.C. Chaubey³

1. Department of Mathematics, I.K. Gujral Punjab Technical University, Kapurthala, India.
2. Department of Mathematics, I.K. Gujral Punjab Technical University, Kapurthala, India.
3. Department of Mathematics, T.D.P.G. College, V.B.S. Purvanchal University, Jaunpur, India.

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.3 , pp.125-128, Jun-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i3.125128

Online published on Jun 30, 2018

Copyright © Mohammad Rafee, Avdhesh Kumar, G.C. Chaubey . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
Characteristic properties of indicatrix has been studied by so many authors in different situations. In 1984, C. Shibata introduced the concept of β-change in Finsler geometry. Using the theory of β-change, we study the behavior of indicatrix given by square change of famous Z. Shen’s square metric.

Key-Words / Index Term :
Indicatrix, β-change, Square change, conformal change, Square metric

References :
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