آمار

تعداد نشریات26
تعداد شماره‌ها390
تعداد مقالات3,409
تعداد مشاهده مقاله5,240,862
تعداد دریافت فایل اصل مقاله3,581,391
Sadeghi, Hassan, Bahadori, Morad. (1399). On projectively related spherically symmetric metrics in Finsler geometry. سامانه مدیریت نشریات علمی, 1(2), 39-53. doi: 10.22098/jfga.2020.1238
Hassan Sadeghi; Morad Bahadori. "On projectively related spherically symmetric metrics in Finsler geometry". سامانه مدیریت نشریات علمی, 1, 2, 1399, 39-53. doi: 10.22098/jfga.2020.1238
Sadeghi, Hassan, Bahadori, Morad. (1399). 'On projectively related spherically symmetric metrics in Finsler geometry', سامانه مدیریت نشریات علمی, 1(2), pp. 39-53. doi: 10.22098/jfga.2020.1238
Sadeghi, Hassan, Bahadori, Morad. On projectively related spherically symmetric metrics in Finsler geometry. سامانه مدیریت نشریات علمی, 1399; 1(2): 39-53. doi: 10.22098/jfga.2020.1238

On projectively related spherically symmetric metrics in Finsler geometry

Journal of Finsler Geometry and its Applications
دوره 1، شماره 2، اسفند 2020، صفحه 39-53    اصل مقاله (105.64 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1238
نویسندگان
Hassan Sadeghi* 1؛ Morad Bahadori2
1Faculty of Science, Department of Mathematics University of Qom, Qom, Iran E-mail: sadeghihassan64@gmail.com
2Faculty of Science, Department of Mathematics University of Qom, Qom, Iran. Email: E-mail: moradbahadori3@gmail.com
چکیده
Inspired by the notion of projectively related spherically symmetric metrics, we study the class of Finsler metrics whose geodesics have the same shape with a difference in rotation or reflection of their graphs. This class of metrics contains the class of projectively related Finsler metrics. First, we characterize the class of Randers metrics, ( α, β )-metrics and spherically symmetric metrics in this class of metrics
کلیدواژه‌ها
Projectively related metrics؛ ( α؛ β )-metrics؛ spherically symmetric metric
مراجع
  • 1. S. B´acs´o, X. Cheng and Z. Shen, Curvature properties of (α, β)-metrics, Adv. Stud. Pure.
    Math. 48(2007), 73-110.
  • 2. G. Chen and X. Cheng, A class of Finsler metrics projectively related to a Randers
    metric, Publ. Math. Debrecen. 81(2012), 351-363.
  • 3. S. G. Elgendi , A. Soleiman and A. Abdelsalam, A new general Finsler connection,
    Journal of Finsler Geometry and its Applications, 1(1) (2020), 1-14.
  • 4. G. Hamel, Uber die Geometrien, in denen die Geraden die K¨urtzesten sind ¨ , Math. Ann.
    57(1903), 231-264.
  • 5. B. Li, Y. Shen and Z. Shen, On a class of Douglas metrics, Stud. Sci. Math. Hung.
    46(2009) 355-365.
  • 6. B. Najafi and A. Tayebi, A new quantity in Finsler geometry, C. R. Acad. Sci. Paris,
    Ser. I. 349(2011), 81-83.
  • 7. H. Sadeghi, A special class of Finsler metrics, Journal of Finsler Geometry and its
    Applications, 1(1) (2020), 60-65.
  • 8. Y. Shen and Y. Yu, On projectively related Randers metrics, Int. J. Math. 19(2008),
    503-520.
  • 9. Z. Shen, Projectively flat Finsler metrics of constant flag curvature, Trans. Amer. Math.
    Soc. 355(2003), 1713-1728.
  • 10. Z. Shen, On projectively related Einstein metrics in Riemann-Finsler geometry, Math.
    Ann. 320(2001), 625-647.
  • 11. A. Tayebi and A. Alipour, On distance functions induces by Finsler metrics, Publ Math
    Debrecen. 90(2017), 333-357.
  • 12. A. Tayebi, M. Bahadori and H. Sadeghi, λ-projectively related Finsler metrics and Finslerian projective invariants, Math Research, 6(4)(2021), 621-630.
  • 13. A. Tayebi, M. Bahadori and H. Sadeghi, On spherically symmetric Finsler metrics with
    some non-Riemannian curvature properties, J. Geom. Phys. 163 (2021), 104125.
  • 14. A. Tayebi and M. Razgordani, Four families of projectively flat Finsler metrics with
    K = 1 and their non-Riemannian curvature properties, Rev. R. Acad. Cienc. Exactas
    F´ıs. Nat. Ser. A Math. RACSAM, 112(2018), 1463-1485.
  • 15. A. Tayebi and M. Rafie Rad, S-curvature of isotropic Berwald metrics, Science in China,
    Series A: Math. 51(2008), 2198-2204.
  • 16. 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.
  • 17. L. Zhou, The spherically symmetric Finsler metrics with isotropic S-curvature, J. Math.
    Anal. Appl. 431(2015), 1008-1021
آمار
تعداد مشاهده مقاله: 332
تعداد دریافت فایل اصل مقاله: 324


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب