Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric
The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler (α, β) -metric. Consequently, we obtained the non-holonomic frame with the help of α2=aij(x)yiyj, one form metric β=bi(x)yi and infinite series of (α, β) metric such as the forms I. ( β4 /(β-α )2 ) +...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2023-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2534_e1b61f4d753d39bd074df6f0b2773d79.pdf |
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| Summary: | The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler (α, β) -metric. Consequently, we obtained the non-holonomic frame with the help of α2=aij(x)yiyj, one form metric β=bi(x)yi and infinite series of (α, β) metric such as the forms I. ( β4 /(β-α )2 ) + α2 =F12+F22 i.e. sum of the square of infinite series of (α, β) -metric and square of Riemannian metric II. ( β4 /(β-α )2 ) + β2 =F12+F32 i.e. sum of the square of infinite series of (α, β) -metric and square of 1-form metric. |
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| ISSN: | 2251-8436 2322-1666 |