Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric
عنوان مقاله: Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric
شناسه ملی مقاله: JR_JHSMS-11-1_011
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_JHSMS-11-1_011
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Brijesh Kumar Tripathi - Department of Mathematics, L. D. College of Engineering, Ahmedabad, Gujarat-۳۸۰۰۱۵, India.
V. K. Chaubey - Department of Applied Sciences, Buddha Institute of Technology, GIDA Gorakhpur, U.P., ۲۷۳۲۰۹, INDIA
خلاصه مقاله:
Brijesh Kumar Tripathi - Department of Mathematics, L. D. College of Engineering, Ahmedabad, Gujarat-۳۸۰۰۱۵, India.
V. K. Chaubey - Department of Applied Sciences, Buddha Institute of Technology, GIDA Gorakhpur, U.P., ۲۷۳۲۰۹, INDIA
The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler (\alpha, \beta) -metric. Consequently, we obtained the non-holonomic frame with the help of \alpha^{۲}=a_{ij}(x)y^{i}y^{j} , one form metric \beta=b_{i}(x)y^{i} and infinite series of (\alpha, \beta) metric such as the forms I.\;\; (\frac{\beta^{۴}}{(\beta-\alpha)^{۲}})+\alpha^{۲} =F_{۱}^{۲}+F_{۲}^{۲} i.e. sum of the square of infinite series of (\alpha, \beta) -metric and square of Riemannian metric II.\;\;(\frac{\beta^{۴}}{(\beta-\alpha)^{۲}})+\beta^{۲} =F_{۱}^{۲}+F_{۳}^{۲} i.e. sum of the square of infinite series of (\alpha, \beta) -metric and square of ۱-form metric.
کلمات کلیدی: Riemannian metric, One form metric, Infinite series of (\alpha, \beta) -metric, Nonholonomic Finsler frame
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1902795/