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Kumar Tripathi, Brijesh, Chaubey, V. K.. (1402). Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric. سامانه مدیریت نشریات علمی, 11(1), 157-165. doi: 10.22098/jhs.2023.2534
Brijesh Kumar Tripathi; V. K. Chaubey. "Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric". سامانه مدیریت نشریات علمی, 11, 1, 1402, 157-165. doi: 10.22098/jhs.2023.2534
Kumar Tripathi, Brijesh, Chaubey, V. K.. (1402). 'Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric', سامانه مدیریت نشریات علمی, 11(1), pp. 157-165. doi: 10.22098/jhs.2023.2534
Kumar Tripathi, Brijesh, Chaubey, V. K.. Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric. سامانه مدیریت نشریات علمی, 1402; 11(1): 157-165. doi: 10.22098/jhs.2023.2534

Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric

Journal of Hyperstructures
دوره 11، شماره 1، شهریور 2022، صفحه 157-165    اصل مقاله (287.61 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2023.2534
نویسندگان
Brijesh Kumar Tripathi1؛ V. K. Chaubey* 2
1Department of Mathematics, L. D. College of Engineering, Ahmedabad, Gujarat-380015, India.
2Department of Applied Sciences, Buddha Institute of Technology, GIDA Gorakhpur, U.P., 273209, INDIA
چکیده
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.
کلیدواژه‌ها
Riemannian metric؛ One form metric؛ Infinite series of $ (\alpha؛ \beta) $-metric؛ Nonholonomic Finsler frame
مراجع
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