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ON PROJECTIVELY FLAT FINSLER SPACE WITH AN APPROXIMATE INFINITE SERIES (α, β)-METRIC

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초록

We introduced a Finsler space F^n with an approximate infinite series (α, β) -metric L(α, β) = (수식), where α < β and investigated it with respect to Berwald space ([12]) and Douglas space ([13]). The present paper is devoted to finding the condition that is projectively flat on a Finsler space F^n with an approximate infinite series (α, β) -metric above.

Abstract

We introduced a Finsler space F^n with an approximate infinite series (α, β) -metric L(α, β) = (수식), where α < β and investigated it with respect to Berwald space ([12]) and Douglas space ([13]). The present paper is devoted to finding the condition that is projectively flat on a Finsler space F^n with an approximate infinite series (α, β) -metric above.

참고문헌 (13)

  1. P. L. Antonelli, "The theory of sprays and Finsler spaces with applications in physics and biology" (1993), Kluwer QAcad. Publ
  2. T. Aikou, "On Matsumoto's Finsler space with time measure", Rep. Fac. Sci. Kagoshima Univ. (Math. Phys. Chem.), 23, pp.1~12 (1990)
  3. S. Bacso, "Projective changes between Finsler spaces with ( ; )- metric", Tensor N. S, 55, pp.252~257 (1994)
  4. M. Hashiguchi, "Randers spaces with rectilinear geodesics", Rep. Fac. Sci. Kagoshima Univ. (Math. Phys. Chem.), 13, pp.33~40 (1980)
  5. M. Matsumoto, "Projective changes of Finsler metrics and projectively at Finsler spaces", Tensor N. S, 34, pp.303~315 (1980)
  6. M. Matsumoto, "A slope of a mountain is a Finsler surface with respect to time measure", J. Math. Kyoto Univ, 29, pp.17~25 (1989)
  7. M. Matsumoto, "Projectively at Finsler spaces with ( ; )-metric", Rep. on Math. Phys, 30, pp.15~20 (1991)
  8. M. Matsumoto, "Finsler spaces with ( ; )-metric of Douglas type", Tensor, N. S, 60, pp.123~134 (1998)
  9. M. Matsumoto, "Foundations of Finsler geometry and special Finsler spaces" (1986), Kaiseisha Press
  10. H. S. Park, "On projectively at Finsler spaces with ( ; )-metric", Commun. Korean Math. Soc, 14(2), pp.373~383 (1999)
  11. H. S. Park, "Finsler space with the genreal approximate Mat- sumoto metric", Indian J. pure and appl. Math, 34(1), pp.59~77 (2002)
  12. I. Y. Lee, "On Berwald space with an approximate in nite series ( ; )-metric", FJMS, 29(3), pp.701~710 (2008)
  13. Il-Yong Lee, "ON DOUGLAS SPACE WITH AN APPROXIMATE INFINITE SERIES (α,β)-METRIC", 충청수학회지, 22(4), pp.699~716 (2009), 충청수학회

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