Deformed Infinite series metric in Cartan Spaces

Brijesh Kumar Tripathi; V. K. Chaubey

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arXiv · 1912.12176

Deformed Infinite series metric in Cartan Spaces

Brijesh Kumar Tripathi·V. K. Chaubey

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Abstract

Igarashi introduce the concept of $(α, β)$-metric in Cartan space $\ell^{n}$ analogously to one in Finsler space and obtained the basic important geometric properties and also investigate the special class of the space with $(α, β)$-metric in $\ell^{n}$ in terms of $ 'invariants' $. In the present paper we determine the $ 'invariants' $ in two different cases of deformed infinite series metric which characterize the special classes of Cartan spaces $\ell^{n}$.

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BibTeX RIS

Brijesh Kumar Tripathi, V. K. Chaubey. 2019-12-20. Deformed Infinite series metric in Cartan Spaces. https://arxiv.org/abs/1912.12176

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