آمار

تعداد نشریات32
تعداد شماره‌ها499
تعداد مقالات4,440
تعداد مشاهده مقاله7,659,781
تعداد دریافت فایل اصل مقاله5,157,932
Rezaei, Bahman, Jalili, Samaneh, Ghasemnezhad, Laya. (1400). On conformal change of projective Ricci curvature of Kropina metrics. سامانه مدیریت نشریات علمی, 2(2), 1-13. doi: 10.22098/jfga.2021.1364
Bahman Rezaei; Samaneh Jalili; Laya Ghasemnezhad. "On conformal change of projective Ricci curvature of Kropina metrics". سامانه مدیریت نشریات علمی, 2, 2, 1400, 1-13. doi: 10.22098/jfga.2021.1364
Rezaei, Bahman, Jalili, Samaneh, Ghasemnezhad, Laya. (1400). 'On conformal change of projective Ricci curvature of Kropina metrics', سامانه مدیریت نشریات علمی, 2(2), pp. 1-13. doi: 10.22098/jfga.2021.1364
Rezaei, Bahman, Jalili, Samaneh, Ghasemnezhad, Laya. On conformal change of projective Ricci curvature of Kropina metrics. سامانه مدیریت نشریات علمی, 1400; 2(2): 1-13. doi: 10.22098/jfga.2021.1364

On conformal change of projective Ricci curvature of Kropina metrics

Journal of Finsler Geometry and its Applications
دوره 2، شماره 2، اسفند 2021، صفحه 1-13    اصل مقاله (98.54 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1364
نویسندگان
Bahman Rezaei* 1؛ Samaneh Jalili2؛ Laya Ghasemnezhad3
1Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. b.rezaei@urmia.ac.ir
2Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. s.jalili@urmia.ac.ir
3Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. l.ghasemnezhad@urmia.ac.ir
چکیده
In this paper‎, ‎we study and investigate the conformal change of projective Ricci curvature of Kropina metrics‎. ‎Let F and  F˜ be two conformally related Kropina metrics on a manifold M‎. ‎We prove that PRic˜=  PRic if and only if the conformal transformation is a homothety‎.
کلیدواژه‌ها
‎Kropina metrics‎؛ ‎Projectively Ricci curvature‎؛ ‎Conformal transformation‎
مراجع
  • 1. S. B´acs´o and X. Cheng, Finsler conformal transformations and the curvature invariances, Publ. Math. Debrecen, 70(2007), 221-231.
  • 2. X. Cheng, Y. Shen, and X. Ma, On a class of projective Ricci flat Finsler metrics,
    Publ. Math. Debrecen. 7528(2017), 1-12.
  • 3. X. Cheng and Z. Shen, Finsler Geometry: An Approach via Randers Spaces,
    Springer, 2012.
  • 4. K. Kaur and G. Shanker, On the geodesics of a homogeneous Finsler space with a
    special (α, β)-metric, Journal of Finsler Geometry and its Applications, 1(1) (2020),
    26-36.
  • 5. X. Cheng, X. Ma and Y.Shen , On Projective Ricci Flat Kropina Metrics, Journal
    of Mathematics, 37(4) (2017), 705-713.
  • 6. L. Ghasemnezhad, B.Rezaei and M.Gabreni, On isotropic projective Ricci curvature
    of C-reducible Finsler metrics, Turkish Journal of Mathematics, 43(3) (2019), 1730-
    1741.
  • 7. V. K. Kropina, On projective two-dimensional Finsler spaces with a special metric,
    Trudy Sem. Vektor. Tenzor. Anal. 11(1961), 277-292.
  • 8. V.K. Matsumoto, On projective two-dimensional Finsler spaces with a special metric,
    Trudy Sem. Vektor. Tenzor. Anal., 11(1961), 277-292.
  • 9. H. Sadeghi, A special class of Finsler metrics, Journal of Finsler Geometry and its
    Applications, 1(1) (2020), 60-65.
  • 10. Z. Shen, Volume comparison and applications in Riemann-Finsler geometry, Advances in Math. 128 (1997), 306-328.
  • 11. Z. Shen, Differential Geometry of Spray and Finsler Spaces, Kluwer Academic Publishers, 2001.
  • 12. A. Tayebi and T. Tabatabaeifar, Matsumoto metrics of reversible curvature, Acta
    Mathematica Academiae Paedagogicae Nyiregyhaziensis., 32(2016), 165-200.
  • 13. X. Zhang and Y. Shen, On Einstein Matsumoto metrics, arXiv:math/1207.1944v1
    [math.DG] 9 Jul 2012
آمار
تعداد مشاهده مقاله: 536
تعداد دریافت فایل اصل مقاله: 628


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب