Warped product Finsler manifolds from Hamiltonian point of view

被引:1
作者
Joharinad, Parvaneh [1 ]
机构
[1] Inst Adv Studies Basic Sci, Prof Yousef Sobouti Blvd 444,POB 45195-1159, Zanjan, Iran
关键词
Finsler manifold; Hamiltonian formalism; warped product; EINSTEIN-SPACES; TRANSFORMATIONS;
D O I
10.1142/S0219887817500293
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, the Finslerian warped product structures are introduced as Hamiltonian formalism without restricting Finsler functions to be absolutely homogeneous. Afterwards, the constituents of the related variational problem and Finslerian connections of this warped product are obtained according to those of its constructing Finsler manifolds.
引用
收藏
页数:16
相关论文
共 12 条
  • [1] Akbar-Zadeh H, 1979, ANN POL MATH, VXXXVI, P213, DOI [10.4064/ap-36-3-213-229, DOI 10.4064/AP-36-3-213-229]
  • [2] Finslerian metric functions over the product R x M and their potential applications
    Asanov, GS
    [J]. REPORTS ON MATHEMATICAL PHYSICS, 1998, 41 (01) : 117 - 132
  • [3] Bao D., 2000, RIEMANN FINSLER GEOM
  • [4] Bucataru I., 2007, Finsler-Lagrange Geometry: Applications to Dynamical Systems (Editura Academiei Romane)
  • [5] KOZMA L., 2001, Ann. Univ. Sci. Budapest, V44, P157
  • [6] Liouville's theorem in conformal geometry
    Kuehnel, Wolfgang
    Rademacher, Hans-Bert
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 88 (03): : 251 - 260
  • [7] Einstein Spaces with a Conformal Group
    Kuehnel, Wolfgang
    Rademacher, Hans-Bert
    [J]. RESULTS IN MATHEMATICS, 2009, 56 (1-4) : 421 - 444
  • [8] Kulkarni R., 1969, J DIFFER GEOM, V4, P425
  • [9] LICHNEROWICZ A, 1964, CR HEBD ACAD SCI, V259, P697
  • [10] Obata M., 1962, J. Math. Soc. Japan, V14, P333, DOI DOI 10.2969/JMSJ/01430333