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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University of Mohaghegh Ardabili
2023-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2534_e1b61f4d753d39bd074df6f0b2773d79.pdf |
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| author | Brijesh Kumar Tripathi V. K. Chaubey |
| author_facet | Brijesh Kumar Tripathi V. K. Chaubey |
| author_sort | Brijesh Kumar Tripathi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e3138224ce0b4c5195fba84f6fc681a9 |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-e3138224ce0b4c5195fba84f6fc681a92025-08-20T02:40:20ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-06-0111115716510.22098/jhs.2023.25342534Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metricBrijesh Kumar Tripathi0V. K. Chaubey1Department of Mathematics, L. D. College of Engineering, Ahmedabad, Gujarat-380015, India.Department of Applied Sciences, Buddha Institute of Technology, GIDA Gorakhpur, U.P., 273209, INDIAThe 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.https://jhs.uma.ac.ir/article_2534_e1b61f4d753d39bd074df6f0b2773d79.pdfriemannian metricone form metricinfinite series of $ (\alpha\beta) $-metricnonholonomic finsler frame |
| spellingShingle | Brijesh Kumar Tripathi V. K. Chaubey Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric Journal of Hyperstructures riemannian metric one form metric infinite series of $ (\alpha \beta) $-metric nonholonomic finsler frame |
| title | Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric |
| title_full | Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric |
| title_fullStr | Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric |
| title_full_unstemmed | Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric |
| title_short | Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric |
| title_sort | nonholonomic frames for finsler space with deformed infinite series of α β metric |
| topic | riemannian metric one form metric infinite series of $ (\alpha \beta) $-metric nonholonomic finsler frame |
| url | https://jhs.uma.ac.ir/article_2534_e1b61f4d753d39bd074df6f0b2773d79.pdf |
| work_keys_str_mv | AT brijeshkumartripathi nonholonomicframesforfinslerspacewithdeformedinfiniteseriesofabmetric AT vkchaubey nonholonomicframesforfinslerspacewithdeformedinfiniteseriesofabmetric |