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Zeinali Laki, Milad. (1402). Geodesic vectors of infinite series (α, β)-metric on hypercomplex four dimensional Lie groups. سامانه مدیریت نشریات علمی, 4(2), 103-112. doi: 10.22098/jfga.2023.14025.1107
Milad Zeinali Laki. "Geodesic vectors of infinite series (α, β)-metric on hypercomplex four dimensional Lie groups". سامانه مدیریت نشریات علمی, 4, 2, 1402, 103-112. doi: 10.22098/jfga.2023.14025.1107
Zeinali Laki, Milad. (1402). 'Geodesic vectors of infinite series (α, β)-metric on hypercomplex four dimensional Lie groups', سامانه مدیریت نشریات علمی, 4(2), pp. 103-112. doi: 10.22098/jfga.2023.14025.1107
Zeinali Laki, Milad. Geodesic vectors of infinite series (α, β)-metric on hypercomplex four dimensional Lie groups. سامانه مدیریت نشریات علمی, 1402; 4(2): 103-112. doi: 10.22098/jfga.2023.14025.1107

Geodesic vectors of infinite series (α, β)-metric on hypercomplex four dimensional Lie groups

Journal of Finsler Geometry and its Applications
دوره 4، شماره 2، اسفند 2023، صفحه 103-112    اصل مقاله (337.75 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2023.14025.1107
نویسنده
Milad Zeinali Laki*
Department of Mathematics, University of Mohaghegh Ardabili, p.o.box. 5619911367, Ardabil-Iran.
چکیده
In this paper, we consider invariant infinite series  (α, β)--metrics. Then we describe all geodesic vectors of this spaces on the left invariant hypercomplex four dimensional simply connected Lie groups.
کلیدواژه‌ها
complex structure؛ geodesic vector؛ hypercomplex structure؛ infinite series metric
مراجع
  • 1. P. Bahmandoust, D. Latifi, Naturally reductive homogeneous (α, β)-spaces, Int. J. Geom.
    Methods Mod. Phys., 17(8) (2020), 2050117.
  • 2. D. Bao, S. S. Chern, Z. Shen, An introduction to Riemann-Finsler geometry, SpringerVerlage, 2000.
  • 3. M. L. Barberis, Hypercomplex structures on four-dimensional Lie groups, Proc. Am.
    Math. Soc., 125(1997), 1043-1054.
  • 4. M. Ebrahimi, D. Latifi, On Flag Curvature and Homogeneous Geodesics of Left Invariant
    Randers Metrics on the Semi-Direct Product a ⊕p r, Journal of Lie Theory, 29(2019),
    619-627.
  • 5. S. Kobayashi and K. Nomizu, Foundations of differential Geometry, Interscience Publishers, (1969).
  • 6. O. Kowalski, J. Szenthe, On the Existence of Homogeneous Geodesics in Homogeneous
    Riemannian manifolds, Geom. Dedicata, 81(2000), 209-214.
  • 7. D. Latifi,Homogeneous geodesics in homogeneous Finsler spaces, J. Geom. Phys.,
    57(2007), 1421–1433.
  • 8. D. Latifi, M. Toomanian, Invariant naturally reductive Randers metrics on homogeneous
    spaces, Math Sci, 6(63) (2012), 1-5.
  • 9. D. Latifi, M. Toomanian, On the existence of bi-invariant Finsler metrics on Lie groups,
    Math Sci, 7(37) (2013), 1-5.
  • 10. D. Latifi, Bi-invariant (α, β)-metrics on Lie groups, Acta Universitatis Apulensis, 65,
    (2021), 121-131.
  • 11. M. Matsumoto, Theory of Finsler spaces with (α, β)-metric, Rep. Math. Phys., 31(1992),
    33–65.
  • 12. M. Obata, Affine connections on manifolds with almost complex, quaternion or Hermitian structure, Jap. J. Math, 26(1956), 43-79.
  • 13. M. Parhizkar, D. Latifi, Geodesic vectors of Randers metrics on nilpotent Lie groups of
    dimension five, Global. J. Adv. Res. Class. Moder. Geom, 7(2018), 92-101.
  • 14. M. L. Zeinali, On generalized symmetric Finsler spaces with some special (α, β) -metrics,
    Journal of Finsler Geometry and its Applications, 1(1), (2020), 45-53. 
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