آمار

تعداد نشریات30
تعداد شماره‌ها415
تعداد مقالات3,659
تعداد مشاهده مقاله5,780,603
تعداد دریافت فایل اصل مقاله3,958,600
Zohrehvand, Mosayeb. (1400). IFPHP transformations on the tangent bundle with the deformed complete lift metric. سامانه مدیریت نشریات علمی, 2(2), 103-113. doi: 10.22098/jfga.2021.9516.1050
Mosayeb Zohrehvand. "IFPHP transformations on the tangent bundle with the deformed complete lift metric". سامانه مدیریت نشریات علمی, 2, 2, 1400, 103-113. doi: 10.22098/jfga.2021.9516.1050
Zohrehvand, Mosayeb. (1400). 'IFPHP transformations on the tangent bundle with the deformed complete lift metric', سامانه مدیریت نشریات علمی, 2(2), pp. 103-113. doi: 10.22098/jfga.2021.9516.1050
Zohrehvand, Mosayeb. IFPHP transformations on the tangent bundle with the deformed complete lift metric. سامانه مدیریت نشریات علمی, 1400; 2(2): 103-113. doi: 10.22098/jfga.2021.9516.1050

IFPHP transformations on the tangent bundle with the deformed complete lift metric

Journal of Finsler Geometry and its Applications
دوره 2، شماره 2، اسفند 2021، صفحه 103-113    اصل مقاله (93.13 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2021.9516.1050
نویسنده
Mosayeb Zohrehvand*
Department of Mathematical Science and Statistics, Malayer University, Malayer, Iran. m.zohrehvand@malayeru.ac.ir
چکیده
Let (Mn,g) be a Riemannian manifold and TM its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving paraholomorphically projective (IFPHP) transformations on TMwith respect to the Levi-Civita connection the deformed complete lift metric G=gC+(fg)V, where f is a nonzero differentiable function on Mn and gC and gV are the complete lift and the vertical lift of g on TM, respectively. Also, the infinitesimal complete lift, horizontal lift and vertical lift paraholomorphically projective transformations on (TM,Gf) are studied.
کلیدواژه‌ها
complete lift metric؛ infinitesimal fiber-preserving transformation؛ infinitesimal paraholomorphically projective transformations؛ adapted almost paracomplex structure
مراجع
  • 1. M.T.K. Abbassi and M. Sarih, On Riemannian g-natural metrics of the form ags +
    bgh + cgv on the tangent bundle of a Riemannian manifold (M, g), Mediterr. J. Math.,
    2 (2005), 19-43.
  • 2. M.T.K. Abbassi and M. Sarih, On natural metrics on tangent bundles of Riemannian
    manifolds, Arch. Math. (Brno), 41 (2005), 71-92.
  • 3. V. Cortes, C. Mayer, T. Mohaupt and F. Saueressig, Special geometry of Euclidean
    supersymmetry. I. Vector multiplets, J. High Energy Phys. 028 (2004), 73 pp.
  • 4. V. Cruceanu, P.M. Gadea and J. Munoz Masque, Para-Hermitian and Para-Kahler Manifolds. Quaderni Inst. Math. Messina, 2 (1995), 1-70.
  • 5. F. Etayo and P. M. Gadea, Paraholomorphically projective vector field, An. St. Univ.
    ”Al. I. Cuza” Iasi Sect. a Mat.(N. S.) 38 (1992), 201-210.
  • 6. M. Iscan and A. Magden, Infinitesimal paraholomorphically projective transformations
    on tangent bundles with diagonal lift connection, Differ. Geom. Dyn. Syst., 10 (2008),
    170-177.
  • 7. A. Gezer, On infinitesimal conformal transformations of the tangent bundles with the
    synectic lift of a Riemannian metric, Proc. Indian Acad. Sci. (Math. Sci.) 119 (2009),
    345-350.
  • 8. A. Gezer and M. Ozkan, Notes on the tangent bundle with deformed complete lift metric,
    Turkish J. Math., 38 (2014), 1038-1049.
  • 9. M. Prvanovic, Holomorphically projective transformations in a locally product spaces,
    Math. Balkanica (N.S.) 1 (1971), 195-213.
  • 10. Z. Raei, On the geometry of tangent bundle of Finsler manifold with Cheeger-Gromoll
    metric, Journal of Finsler Geometry and its Applications, 2(1) (2021), 1-30.
  • 11. P.K. Rasevskii, The scalar field in a stratified space. Trudy Sem. Vekt. Tenz. Anal., 6
    (1948), 149-151.
  • 12. A.A. Salimov, M. Iscan and F. Etayo, Paraholomorphic B-manifold and its properties,
    Topology Appl., 154 (2007), 925-933.
  • 13. S. Sasaki, On the differential geometry of tangent bundles of Riemannian manifolds,
    Tohoku Math. J., 10 (1958) 338-358.
  • 14. K. Yamauchi, On infinitesimal conformal transformations of the tangent bundles over
    Riemannian manifolds, Ann. Rep. Asahikawa Med. Coll., 16 (1995), 1-6.
  • 15. K. Yano, The Theory of Lie Derivatives and Its Applications. Bibliotheca mathematica,
    North Holland Pub. Co., 1957.
  • 16. K. Yano and S. Ishihara, Tangent and Cotangent Bundles. Marcel Dekker, Inc., New
    York, 1973.
  • 17. K. Yano and S. Kobayashi, Prolongation of tensor fields and connections to tangent
    bundles I, II, III, J. Math. Soc. Japan, 18 (1966), 194-210, 236-246, 19 (1967), 486-488.
آمار
تعداد مشاهده مقاله: 315
تعداد دریافت فایل اصل مقاله: 233


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب