참고문헌
- P. L. Antonelli, R. S. Ingraden and M. Matsumoto, The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology, Kluwer Acad. Publ., Dordrecht, 1993.
- P. L. Antonelli, Handbook of Finsler Geometry, volume 1 and 2, Kluwer Acad. Publ., Dordrecht /Boston/London, 2004.
-
M. Hashiguchi, S.
$H{\bar{o}}j{\bar{o}}$ and M. Matsumoto, On Landsberg spaces of two di- mensions with (${\alpha},\;{\beta}$ )-metric. J. Korean Math. Soc. 10 (1973), 17-26. -
S.
$H{\bar{o}}j{\bar{o}}$ , On geodesics of certain Finsler metrics, Tensor N. S. 34 (1980), 211- 217. -
M. Kitayama, M. Azuma and M. Matsumoto, On Finsler spaces with(
${\alpha},\;{\beta}$ )- metric. Regularity, geodesics and main scalars, J. Hokkaido Univ. Education, (Sect. IIA) 46 (1995), 1-10. - M. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, Kaiseisha Press, Saikawa, Otsu, Japan, 1986.
-
M. Matsumoto, The Berwald connection of a Finsler space with an (
${\alpha},\;{\beta}$ )- metric, Tensor, N. S. 50 (1991), 18-21. -
M. Matsumoto, A special class of locally Minkowski spaces with (
${\alpha},\;{\beta}$ )-metric and conformally flat Kropina spaces, Tensor, N. S. 50 (1991), 202-207. -
M. Matsumoto, Theory of Finsler spaces with (
${\alpha},\;{\beta}$ )-metric, Rep. on Math. Phys. 31 (1992), 43-83. https://doi.org/10.1016/0034-4877(92)90005-L - M. Matsumoto, Geodesics of two-dimensional Finselr spaces, Math. Comput. Modeling 20 (1994), 1-23.
-
M. Matsumoto and H. S. Park, Equations of geodesics in two-dimensional Fin- selr spaces with (
${\alpha},\;{\beta}$ )-metric, Rev. Roum. Math. Pures Appl. 42 (1998), 787-793 -
M. Matsumoto and H. S. Park, Equations of geodesics in two-dimensional Fin- selr spaces with (
${\alpha},\;{\beta}$ )-metric, Tensor, N. S. 60 (1998), 89-93. -
M. Matsumoto, Finsler spaces with (
${\alpha},\;{\beta}$ )-metric of Douglas type, Tensor, N. S. 60 (1998), 123-134. - T. Okada, Minkowskian product of Finsler spaces and Berwald connection, J. Math. Kyoto Univ. 22 (1982), 323-332. https://doi.org/10.1215/kjm/1250521819
- T. Sumitomo, On the reduction of Minkowski space, J. Fac. Hokkaido Univ. 14 (1958), 50-58.