Conformal change of Douglas space of second kind with generalized (α,β)-metric

Brijesh Kumar Tripathi, Sadika Khan

Abstract


In 2008, I. Y. Lee [7] defined the Douglas space of the second kind of Finsler space with $(\alpha,\beta)$-metric and examined the condition that a Finsler space with a $(\alpha,\beta)$-metric is a Douglas space of the second kind. In this paper, we established the condition that a Douglas space of the second kind with generalized $(\alpha,\beta)$-metric is conformally changed to a Douglas space of the second kind. Furthermore, we derived various results that indicate the second kind of Douglas space with different $(\alpha,\beta)$-metrics, such as exponential type metric, and some special $(\alpha,\beta)$-metrics are invariant under conformal change.

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References


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DOI: https://doi.org/10.52846/ami.v52i2.2030