### Projectively Flat Finsler Space with A \(r\)-th Series \((\alpha,\beta)\)-Metric

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

P.L. Antonelli, R.S. Ingarden and M. Matsumoto, The theory of Sprays and Finsler spaces with applications in physics and biology Kluwer Acad. Dordrecht, (1993).

M. Hashiguchi and Y. Ichijyo On some special $(alpha,beta)$-metric, Rep. Fac. Sci. Kagasima Univ.(Math., Phys., Chem.), 8 (1975), 39-46.

M. Matsumoto On Finsler space with Randers metric and special forms of importent tensors, J. Math. Kyoto Univ, 14 (1974), 477-498.

M. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, Kaiseisha press, Saikawa, Ootsu, Japan, 1986.

M. Matsumoto, The Berwald connection of a Finsler space with an $(alpha,beta)$-metric, Tensor, N.S., 50 (1991),

-21.

Il-Yong Lee and Hong-Suh Park, Finsler spaces with Infinite Series $(alpha,beta)$-metric, J. Korean Math. Soc., 41 (2004), 567-589.

S. Kikuchi On the condition that a space with$(alpha,beta)$-metric be locally Minkowskian, Tensor, N. S., 55 (1994), 97-100.

C. Shibata On Finsler space with an $(alpha,beta)$-metric, J. Hokkaido Univ. of education, IIA 35 (1984), 1-16.

Shun-ichi Hojo, M. Matsumoto and K. Okubo Theory of conformally Berwald Finsler spaces and its applications to $(alpha,beta)$-metric, Balkan journal of Geometry and its applications, 5 (2000), 107-118.

DOI: http://dx.doi.org/10.26713%2Fjims.v7i3.295

eISSN 0975-5748; pISSN 0974-875X