آمار

تعداد نشریات31
تعداد شماره‌ها475
تعداد مقالات4,211
تعداد مشاهده مقاله7,077,119
تعداد دریافت فایل اصل مقاله4,779,455
Amini, Marzeiya. (1400). On conformally flat cubic (α, β)-metrics. سامانه مدیریت نشریات علمی, 2(1), 75-85. doi: 10.22098/jfga.2021.1265
Marzeiya Amini. "On conformally flat cubic (α, β)-metrics". سامانه مدیریت نشریات علمی, 2, 1, 1400, 75-85. doi: 10.22098/jfga.2021.1265
Amini, Marzeiya. (1400). 'On conformally flat cubic (α, β)-metrics', سامانه مدیریت نشریات علمی, 2(1), pp. 75-85. doi: 10.22098/jfga.2021.1265
Amini, Marzeiya. On conformally flat cubic (α, β)-metrics. سامانه مدیریت نشریات علمی, 1400; 2(1): 75-85. doi: 10.22098/jfga.2021.1265

On conformally flat cubic (α, β)-metrics

Journal of Finsler Geometry and its Applications
مقاله 6، دوره 2، شماره 1، مهر 2021، صفحه 75-85    اصل مقاله (91.88 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1265
نویسنده
Marzeiya Amini*
Department of Mathematics, Faculty of Science, University of Qom, Qom. Iran E-mail: marzeia.amini@gmail.com
چکیده
In this paper, we study the class of conformally flat cubic (α, β)-metrics. We prove that every conformally flat cubic (α, β)-metric with relatively isotropic mean Landsberg curvature must be either Riemannian metrics or locally Minkowski metrics.
کلیدواژه‌ها
Cubic metric؛ (α؛ β)-metric؛ Conformally flat metric؛ relatively isotropic mean Landsberg curvature
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, Dordrecht, 1993.
  • 2. G.S. Asanov, Finslerian metric functions over product R × M and their potential applications, Rep. Math. Phys. 41(1998), 117-132.
  • 3. X. Cheng, H. Wang and M. Wang, (α, β)-metrics with relatively isotropic mean Landsberg
    curvature, Publ. Math. Debrecen, 72(2008), 475-485.
  • 4. S. S. Chern and Z. Shen, Riemann-Finsler Geometry, World Scientiflc, Singapore, 2005.
  • 5. B. Li and Z. Shen, On a class of weak Landsberg metrics, Science in China Series A,
    50(2007), 75-85.
  • 6. T. Tabatabaeifar, On generalized 4-th root Finsler metrics, Journal of Finsler Geometry
    and its Applications, 1(1) (2020), 54-59.
  • 7. A. Tayebi, On generalized 4-th root metrics of isotropic scalar curvature, Mathematica
    Slovaca, 68(2018), 907-928.
  • 8. A. Tayebi and B. Najafi, On m-th root Finsler metrics, J. Geom. Phys. 61(2011), 1479-
    1484.
  • 9. A. Tayebi and B. Najafi, On m-th root metrics with special curvature properties, C. R.
    Acad. Sci. Paris, Ser. I. 349(2011), 691-693.
  • 10. A. Tayebi and M. Razgordani, On conformally flat fourth root (α, β)-metrics, Differ.
    Geom. Appl. 62(2019), 253-266.
  • 11. A. Tayebi and M. Shahbazi Nia, A new class of projectively flat Finsler metrics with
    constant flag curvature K = 1, Differ. Geom. Appl. 41(2015), 123-133
آمار
تعداد مشاهده مقاله: 388
تعداد دریافت فایل اصل مقاله: 390


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب