• 대한수학회지
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• 제13권2호
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• pp.179-188
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• 1976

• 대한수학회지
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• 제13권1호
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• pp.141-144
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• 1976

• Kyungpook Mathematical Journal
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• 제22권2호
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• pp.265-277
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• 1982

• 대한수학회지
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• 제14권2호
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• pp.167-183
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• 1978

• 대한수학회논문집
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• 제8권3호
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• pp.419-427
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• 1993

• 대한수학회논문집
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• 제6권2호
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• pp.249-255
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• 1991

• East Asian mathematical journal
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• 제15권1호
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• pp.81-90
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• 1999

• Nonlinear Functional Analysis and Applications
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• 제27권2호
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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.

• 한국전산응용수학회:학술대회논문집
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• 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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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.

• 호남수학학술지
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• 제29권4호
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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.