ON STRETCH CURVATURE OF FINSLER MANIFOLDS

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SADEGHZADEH NASRIN; TAYEBI AKBAR

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Journal: MATHEMATICAL RESEARCHES Year:2017 | Volume:3 | Issue:2 Page(s): 119-128

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Information Journal Paper

Title

ON STRETCH CURVATURE OF FINSLER MANIFOLDS

Author(s)

SADEGHZADEH NASRIN | TAYEBI AKBAR | Issue Writer Certificate

Keywords

STRETCH CURVATUREQ1

RELATIVITY STRETCH CURVATUREQ1

FLAG CURVATUREQ1

(αQ1

β)-METRICQ1

RANDERS METRICQ1

Abstract

In this paper, Finsler metrics with relatively non-negative (resp. non-positive), isotropic and constant STRETCH CURVATURE are studied. In particular, it is showed that every compact Finsler manifold with relatively non-positive (resp. non-negative) STRETCH CURVATURE is a Landsberg metric. Also, it is proved that every (a, b)-metric of non-zero constant FLAG CURVATURE and non-zero relatively isotropic STRETCH CURVATURE on a manifold of dimension n>2 has a constant characteristic scalar along the geodesics. Two dimensional Finsler manifolds of relatively STRETCH CURVATURE are studied, too.

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APA: Copy

SADEGHZADEH, NASRIN, & TAYEBI, AKBAR. (2017). ON STRETCH CURVATURE OF FINSLER MANIFOLDS. MATHEMATICAL RESEARCHES, 3(2 ), 119-128. SID. https://sid.ir/paper/260777/en

Vancouver: Copy

SADEGHZADEH NASRIN, TAYEBI AKBAR. ON STRETCH CURVATURE OF FINSLER MANIFOLDS. MATHEMATICAL RESEARCHES[Internet]. 2017;3(2 ):119-128. Available from: https://sid.ir/paper/260777/en

IEEE: Copy

NASRIN SADEGHZADEH, and AKBAR TAYEBI, “ON STRETCH CURVATURE OF FINSLER MANIFOLDS,” MATHEMATICAL RESEARCHES, vol. 3, no. 2 , pp. 119–128, 2017, [Online]. Available: https://sid.ir/paper/260777/en

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