آمار

تعداد نشریات31
تعداد شماره‌ها447
تعداد مقالات3,935
تعداد مشاهده مقاله6,619,149
تعداد دریافت فایل اصل مقاله4,409,730
Tripathi, Brijesh Kumar, Khan, Sadika. (1404). Projective change between special cubic (α,β)-metric and Randers metric. سامانه مدیریت نشریات علمی, (), 82-93. doi: 10.22098/jfga.2025.17700.1166
Brijesh Kumar Tripathi; Sadika Khan. "Projective change between special cubic (α,β)-metric and Randers metric". سامانه مدیریت نشریات علمی, , , 1404, 82-93. doi: 10.22098/jfga.2025.17700.1166
Tripathi, Brijesh Kumar, Khan, Sadika. (1404). 'Projective change between special cubic (α,β)-metric and Randers metric', سامانه مدیریت نشریات علمی, (), pp. 82-93. doi: 10.22098/jfga.2025.17700.1166
Tripathi, Brijesh Kumar, Khan, Sadika. Projective change between special cubic (α,β)-metric and Randers metric. سامانه مدیریت نشریات علمی, 1404; (): 82-93. doi: 10.22098/jfga.2025.17700.1166

Projective change between special cubic (α,β)-metric and Randers metric

Journal of Finsler Geometry and its Applications
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 آبان 1404    اصل مقاله (308.11 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.17700.1166
نویسندگان
Brijesh Kumar Tripathi* 1؛ Sadika Khan2
1Department of Mathematics, L. D. College of Engineering, Ahmedabad, Gujarat, India
2Science Mathematics Branch, Gujarat Technological University, Ahmedabad, Gujarat, India
چکیده
In 1994, S. Basco and M. Matsumoto studied the concept of projective change between two Finsler spaces with (α,β)-metrics. Projective change between two Finsler metrics arises from Information Geometry. In the present paper, we find conditions to characterize the projective change between two (α,β)-metrics, such as special cubic (α,β)-metric and Randers metric on a manifold with dim n≥3, where α and   α-  are two Riemannian metrics, β and β-  are two non-zero 1-forms.
کلیدواژه‌ها
Finsler space؛ cubic (α,β)-metric؛ Douglas metric؛ locally Minkowskian space
مراجع
 1. P. L. Antonelli, R. S. Ingarden and M. Matsumoto, The Theory of sprays and Finsler spaces with applications in Physics and Biology, Kluwer academic publishers, London,1985.
2. L. Berwald, On Finsler and Cartan geometries, III. Two-dimensional Finsler spaces with rectilinear extremals, Ann. Math., 42(20) (1941), 84-112.
3. S. B´ac´so and M. Matsumoto, Projective change between Finsler spaces with (α; β)- metrics, Tensor N.S., 55 (1994), 252-257.
4. G. Chen and X. Cheng, A class of Finsler metrics projectively related to a Randers metric, Publ. Math. Debrecen., 81(3-4) (2012), 351-363.
5. N. Cui and Y. B. Shen, Projective change between two classes of (α; β)-metrics, Diff.Geom. Appl., 27 (2009), 566-573.
6. G. Yang, On a class of Einstein-reversible Finsler metrics, Differ. Geom. Appl., 60 (2018), 80-10.
7. M. Hashiguchi and Y. Ichijy¯o, Randers spaces with rectilinear geodesics, Rep. Fac. Sci. Kagoshima Univ. (Math. Phys. Chem.), 13 (1980), 33-40.
8. M. Matsumoto, Foundations of Finsler Geometry and special Finsler spaces, Kaiseisha press Otsu, Saikawa, 1986.
9. M. Matsumoto, Projective changes of Finsler metrics and projectively flat Finsler spaces,Tensor N.S., 34 (1980), 303-315.
10. H. S. Park and Y. Lee, Projective changes between a Finsler space with (α; β)-metric and associated Riemannian metric, Canad. J. Math., 60 (2008), 443-456.
11. A. Rapcs´ak, Uber die bahntreuen Abbildungen metrisher R¨aume ¨ , Publ. Math. Debrecen, 8 (1961), 285-290.
12. G. Randers, On an asymmetric metric in the four-space of general relativity, Phys. Rev.,59 (1941), 195-199.
13. H. Rund, The differential geometry of Finsler spaces, Springer-Verlag, Berlin, 1959.
14. S. K. Narsimhamurthy and D. M. Vasantha, Projective change between two Finsler spaces with (α; β)-metric, Kyungpook Math. J., 52 (2012), 81-89.
15. Y. B. Shen and Y. Yu, On projectively related Randers metric, Inter. J. Math., 19(5) (2008), 503-520.
16. Z. Shen, On projectively related Einstein metrics in Riemann-Finsler geometry, Math.Ann., 320 (2001), 625-647.
17. Z. Shen, Differential Geometry of Spray and Finsler Spaces, Kluwer Academic Publishers, 2001.
18. Z. Szab´o, Positive definite Berwald spaces, Tensor N.S., 35 (1981), 25-39.
19. B. K. Tripathi, S. Khan and V. K. Chaubey, On Projectively Flat Finsler Space with a special cubic (α; β)- metric, Filomat, 37(26) (2023), 8975-8982.
20. B. K. Tripathi and S. Khan, On weakly Berwald space with a special cubic (α; β)-metric,Surv. Math. Appl., 18 (2023),1-11.
21. B. K. Tripathi, S. Khan and M. K. Singh, Conformally flat locally Minkowski Finsler space with a special cubic (α; β)-metric, J. Adv. Math. Stud., 16(3) (2023), 275-281.
22. M. Zohrehvand and M. M. Rezaii, On projectively related of two special classes of (α; β)-metrics, Diff. Geom. Appl., 29(5) (2011), 660-669.
23. B. K. Tripathi and S. Prajapati, On Berwald-Matsumoto type Finsler metrics, J. Finsler Geom. Appl., 6(2) (2025), 71-81.
24. P. K. Dwivedi, Sachin Kumar and C. K. Mishra, On projectively flat Finsler space with n-power (α; β)-metric, J. Finsler Geom. Appl., 5(2) (2024), 14-24. 

آمار
تعداد مشاهده مقاله: 41
تعداد دریافت فایل اصل مقاله: 44


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب