Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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HOMOGENEOUS FUNCTION AND ITS APPLICATION IN A FINSLER SPACE

  • Published : 1999.04.01
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Abstract

We deal with a differential equation which is constructed from homogeneous function, and its geometrical meaning in a Finsler space. Moreover, were prove that a locally Minkowski space satisfying a differential equation F\ulcorner=0 is flat-parallel.

Keywords

References

  1. The theory of sprays and Finsler spaces with applications in physics and biology P. L. Antonelli;R. Ingarden;M. Matsumoto
  2. Class. Quantum Grav. v.9 From the Weyl theory to a theory of locally anisotropic spacetime G. U. Bogoslovsky
  3. Tensor, N.S. v.56 A special class of locally Mikowski space with (α,β)-metric and conformally flat Kropina spaces M. Matsumoto
  4. Rep. Math. Phys. v.30 Projectively flat Finsler spaces with (α,β)-metric
  5. Rep. Math. Phys. v.31 Theory of Finsler spaces with (α,β)-mertric
  6. Tensor, N.S. v.56 On a Finsler space with a special (α,β)-metric H. S. Park;E. S. Choi
  7. J. of Hokkaido Univ. of Educ. (Section Ⅱ A) v.35 On Finsler spaces with an (α,β)-metric C. Shibata