ON THE GENERALIZED RANDERS CHANGE OF BERWALD METRICS

被引：0
作者：
Lee, Nany [1 ]
机构：
[1] Univ Seoul, Dept Math, Seoul 130743, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2010年 / 18卷 / 04期
关键词：
Finsler manifold; Berwald spaces; Randers change;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the generalized Randers change * L(x, y) = L(x, y) = L(x, y) + b(i)(x, y)y(i) from the Brewald metric L and the h-vector b(i). And in search for a non-Berwald Landsberg metric, we obtain the conditions on b(i) (x, y) under which *L is a Landsberg metric.
引用
收藏
页码：387 / 394
页数：8
相关论文
共 12 条
  • [1] Asanov GS, 2007, PUBL MATH-DEBRECEN, V71, P397
  • [2] Finsleroid-Finsler spaces of positive-definite and relativistic types
    Asanov, G. S.
    [J]. REPORTS ON MATHEMATICAL PHYSICS, 2006, 58 (02) : 275 - 300
  • [3] Bao D, 2007, ADV STUD PURE MATH, V48, P19
  • [4] BRYANT R., 1996, CONTEMP MATH-SINGAP, V196, P27
  • [5] Chern S. -S., 2005, NANKAI TRACTS MATH
  • [6] On hypersurface of a finsler space with a special metric
    Gupta, M. K.
    Pandey, P. N.
    [J]. ACTA MATHEMATICA HUNGARICA, 2008, 120 (1-2) : 165 - 177
  • [7] Izumi H., 1980, TENSOR, V33, P337
  • [8] Matsumoto M., 1974, J MATH KYOTO U, V14, P477
  • [9] Matveev V. S., 2008, PREPRINT
  • [10] PRASAD BN, 1990, INDIAN J PURE AP MAT, V21, P27
12