• Journal of the Korean Mathematical Society
• /
• v.13 no.2
• /
• pp.179-188
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• 1976

• Journal of the Korean Mathematical Society
• /
• v.13 no.1
• /
• pp.141-144
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• 1976

• Kyungpook Mathematical Journal
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• v.22 no.2
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• pp.265-277
• /
• 1982

• Journal of the Korean Mathematical Society
• /
• v.14 no.2
• /
• pp.167-183
• /
• 1978

• Communications of the Korean Mathematical Society
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• v.8 no.3
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• pp.419-427
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• 1993

• Communications of the Korean Mathematical Society
• /
• v.6 no.2
• /
• pp.249-255
• /
• 1991

• East Asian mathematical journal
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• v.15 no.1
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• pp.81-90
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• 1999

• Nonlinear Functional Analysis and Applications
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• v.27 no.2
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• pp.433-448
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• 2022

The Cartan's second curvature tensor Pⁱ_jkh is a positively homogeneous of degree-1 in yⁱ, where yⁱ represent a directional coordinate for the line element in Finsler space. In this paper, we discuss the decomposition of Cartan's second curvature tensor Pⁱ_jkh in two spaces, a generalized 𝔅P-recurrent space and generalized 𝔅P-birecurrent space. We obtain different tensors which satisfy the recurrence and birecurrence property under the decomposition. Also, we prove the decomposition for different tensors are non-vanishing. As an illustration of the applicability of the obtained results, we finish this work with some illustrative examples.

• Proceedings of the Korean Society of Computational and Applied Mathematics Conference
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• 2003.09a
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• pp.5.2-5
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• 2003

In this paper, we are to find the condition that a two-dimensional Finsler space with Matsumoto metric satisfying L(${\alpha}$,${\beta}$)=${\alpha}$$^2$/(${\alpha}$-${\beta}$) be a Landsberg space and the differential equations of geodesics.

• Honam Mathematical Journal
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• v.29 no.4
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• pp.617-630
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• 2007

In this paper, we'll introduce infinitesimal Finsler metrics induced by the higher order Kobayashi pseudometric and then prove some properties related to these as compared with the usual Kobayashi metric.