CURVATURE OF (Α, Β)-METRICS IN FINSLER GEOMETRY

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BIDABAD B.; SADEGHZADEH N.

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Journal Paper

Paper Information

Journal: AMIRKABIR Year:2005 | Volume:16 | Issue:62-D Page(s): 67-73

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Information Journal Paper

Title

CURVATURE OF (Α, Β)-METRICS IN FINSLER GEOMETRY

Author(s)

BIDABAD B. | SADEGHZADEH N. | Issue Writer Certificate

Keywords

FINSLER METRIC

(Α

Β)-METRIC

RANDERS METRIC

FINSLER CONNECTION

GEODESIC.

Abstract

A class of FINSLER METRICs are (α,β) -metrics which has many applications in sciences and technology. One of the problems in Finsler geometry is finding FINSLER METRICs with constant flag curvature. In this paper after some preliminaries in (α,β) -metrics, we find a sufficient condition for a FINSLER METRIC of type F= α φp(α/β) to be a space of scalar curvature. We also find a necessary and sufficient condition for a FINSLER METRIC of type F= (α+β) 2 / α to be of constant flag curvature. The method of this paper may be useful for developing the navigation problem.

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APA: Copy

BIDABAD, B., & SADEGHZADEH, N.. (2005). CURVATURE OF (Α, Β)-METRICS IN FINSLER GEOMETRY. AMIRKABIR, 16(62-D), 67-73. SID. https://sid.ir/paper/535701/en

Vancouver: Copy

BIDABAD B., SADEGHZADEH N.. CURVATURE OF (Α, Β)-METRICS IN FINSLER GEOMETRY. AMIRKABIR[Internet]. 2005;16(62-D):67-73. Available from: https://sid.ir/paper/535701/en

IEEE: Copy

B. BIDABAD, and N. SADEGHZADEH, “CURVATURE OF (Α, Β)-METRICS IN FINSLER GEOMETRY,” AMIRKABIR, vol. 16, no. 62-D, pp. 67–73, 2005, [Online]. Available: https://sid.ir/paper/535701/en

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