آمار

تعداد نشریات32
تعداد شماره‌ها502
تعداد مقالات4,520
تعداد مشاهده مقاله7,973,007
تعداد دریافت فایل اصل مقاله5,359,839
Zamanzadeh, Mohammad, Sadighi, Akbar. (1403). Some rigidity results on homogeneous Finsler spaces equipped with Killing frames. سامانه مدیریت نشریات علمی, 5(1), 135-143. doi: 10.22098/jfga.2024.14829.1123
Mohammad Zamanzadeh; Akbar Sadighi. "Some rigidity results on homogeneous Finsler spaces equipped with Killing frames". سامانه مدیریت نشریات علمی, 5, 1, 1403, 135-143. doi: 10.22098/jfga.2024.14829.1123
Zamanzadeh, Mohammad, Sadighi, Akbar. (1403). 'Some rigidity results on homogeneous Finsler spaces equipped with Killing frames', سامانه مدیریت نشریات علمی, 5(1), pp. 135-143. doi: 10.22098/jfga.2024.14829.1123
Zamanzadeh, Mohammad, Sadighi, Akbar. Some rigidity results on homogeneous Finsler spaces equipped with Killing frames. سامانه مدیریت نشریات علمی, 1403; 5(1): 135-143. doi: 10.22098/jfga.2024.14829.1123

Some rigidity results on homogeneous Finsler spaces equipped with Killing frames

Journal of Finsler Geometry and its Applications
دوره 5، شماره 1، 2024، صفحه 135-143    اصل مقاله (318.75 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2024.14829.1123
نویسندگان
Mohammad Zamanzadeh* 1؛ Akbar Sadighi2
1Department of Mathematics, Bijar Branch, Islamic Azad University, Bijar, Iran
2Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
چکیده
Utilizing Killing frames on homogeneous Finsler manifolds, we express the Berwald and mean Berwald curvatures in terms of Killing frames and get some rigidity results among them we prove that homogeneous isotropic weakly Berwald metrics reduce to weakly Berwald metric.
کلیدواژه‌ها
Homogeneous Finsler metrics؛ Berwald metric؛ Weakly Berwald metric
مراجع
  • 1. R. Gangopadhyay, A. Shriwastawa and B. Tiwari, On Finsler warped product metrics
    with vanishing E-curvature, AUT J. Math. Computing, 2(2021), 137-142.
  • 2. P. Habibi, Homogeneous geodesics in homogeneous Randers spaces - examples, J. Finsler
    Geom. Appl., 1(1) (2020), 89-95.
  • 3. L. Huang, On the fundamental equations of homogeneous Finsler spaces, Differ. Geom.
    Appl. 40(2015), 187-208.
  • 4. Z. Hu and S. Deng, Killing fields and curvatures of homogeneous Finsler manifolds,
    Publ. Math. Debrecen, 94(2019), 215-229.
  • 5. E. S. Sevim; M. Gabrani, On Finsler metrics with weakly isotropic S-curvature, AUT J.
    Math. Computing, 2(2021), 143-151.
  • 6. Z. Shen, Volume comparison and its applications in Riemann-Finsler geometry, Adv.
    Math. 128(1997) 306-328.
  • 7. A. Tayebi and B. Najafi, On a class of homogeneous Finsler metrics, J. Geom. Phys.
    140(2019), 265-270.
  • 8. A. Tayebi and E. Peyghan, On Douglas surfaces, Bull. Math. Soc. Science. Math.
    Roumanie, Tome 55 (103), No 3, (2012), 327-335.
  • 9. A. Tayebi and M. Rafie. Rad, S-curvature of isotropic Berwald metrics, Sci. China. Series
    A: Math. 51(2008), 2198-2204.
  • 10. A. Tayebi and M. Razgordani, On H-curvature of (α, β)-metrics, Turkish. J. Math.
    44(2020), 207-222.
  • 11. A. Tayebi and H. Sadeghi, On generalized Douglas-Weyl (α, β)-metrics, Acta Mathematica Sinica, English Series. 31(10) (2015), 1611-1620.
  • 12. A. Tayebi and T. Tabatabeifar, Unicorn metrics with almost vanishing H- and Ξcurvatures, Turkish. J. Math. 41(2017), 998-1008.
  • 13. Q. Xia, Some results on the non-Riemannian quantity H of a Finsler metric, Int. J.
    Math. 22(2011), 925-936.
  • 14. M. Xu and S. Deng, Killing frames and S-curvature of homogeneous Finsler spaces,
    Glasgow Mathematical Journal, 57(2015), 457-464.
  • 15. M. Xu, S. Deng, L. Huang and Z. Hu, Even-dimensional homogeneous Finsler spaces
    with positive flag curvature, Indiana Univ. Math. J. 66(2017), 949-972.
  • 16. M. Zeinali Laki, Flag curvature of invariant 3-power metrics on homogeneous spaces, J.
    Finsler Geom. Appl., 4(1) (2023), 124-132. 
آمار
تعداد مشاهده مقاله: 345
تعداد دریافت فایل اصل مقاله: 462


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب