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R-Complex Finsler spaces with an arctangent Finsler metric | ||
Journal of Finsler Geometry and its Applications | ||
مقاله 3، دوره 3، شماره 1، مهر 2022، صفحه 31-41 اصل مقاله (88.89 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2022.10171.1059 | ||
نویسندگان | ||
Renu Gill1؛ Gauree Shanker2؛ Ramdayal Singh Kushwaha* 1 | ||
1Department of Mathematics and Statistics, Banasthali Vidyapith, Tonk, Rajasthan-India | ||
2Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, India | ||
چکیده | ||
In this paper, we have defined the concept of the R-complex Finsler space with an arctangent (α, β)-metric F = α + ε β + β tan-1( β / α). For this metric, we have obtained the fundamental metric tensor fields gijand gi¯j as well as their determinants and inverse tensor fields. Further, some properties of non-Hermitian R-complex Finsler spaces with this metric have been described. | ||
کلیدواژهها | ||
complex Finsler space؛ R-complex Finsler space؛ fundamental metric tensors | ||
مراجع | ||
1. M. Abate and G. Patrizio, Finsler Metrics - A Global Approach, Lecture Notes in Math. (1951), Springer-Verlag, Berlin, 1994. 2. M. Abate and G. Patrizio, On some classes of R-complex Hermitian Finsler spaces, manuscript, 2013 edition, 1994. 3. T. Aikou, Projective flatness of complex Finsler metrics, Publ. Math. Debrecen. 63(2003), 343–362. 4. N. Aldea, About a special class of two dimensional Finsler spaces, Indian J. Pure Appl. Math. 43(2)(2012), 107–127. 5. N. Aldea and G. Munteanu, On complex Finsler spaces with Randers metric, J. Korean Math. Soc. 46(5)(2009), 949–966. 6. N. Aldea and M. Purcaru, R-complex Finsler spaces with (α, β)-metric, Novi Sad J. Math. 38(1)(2008), 1–9. 7. P. L. Antonelli, R. S. Ingarden, and M. Matsumoto, The theory of sprays and Finsler spaces with applications in Physics and Biology, Springer-Dordrecht, 2013. 8. G. Campean and G. Munteanu, R-complex hermitian (α, β)-metrics, Bull. Transilvania. Univ. Brasov. 56(2)(2014), 15–28. 9. M. Matsumoto, Theory of Finsler spaces with (α, β)-metric, Rep. Math. Phys. 31(1992), 43–83. 10. G. Munteanu, Complex Spaces in Finsler, Lagrange and Hamilton Geometries, SpringerDordrecht, 2004. 11. G. Munteanu and M. Purcaru, On R-complex Finsler spaces, Balkan J. Geom. Appl. 14(1)(2009), 52–59. 12. M. Purcaru, On R-complex Finsler spaces with Kropina metric, Bull. Transilvania .Univ. Brasov. 53(4)(2011), 79–88. 13. G. D. Rizza, Structure dii Finsler di tippo quasi Hermitiano, Riv. Mat. Univ. Parma 4(1963), 83–106. 14. V. S. Sab˜au and H. Shimada, Remarkable classes of (α, β)-metric spaces, Rep. on Math. Phys. 47(1)(2001), 31–48. 15. G. Shanker and R. S. Kushwaha, Nonholonomic frame for Finsler spaces with a special quartic metric, Indian J. pure appl. Math. 120(2)(2018), 283–290. | ||
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