ON SPECIAL GENERALIZED DOUGLAS-WEYL METRICS

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TAYEBI A.; PEYGHAN E.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of Sciences, Islamic Republic of Iran Year:2012 | Volume:23 | Issue:2 Page(s): 179-184

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Information Journal Paper

Title

ON SPECIAL GENERALIZED DOUGLAS-WEYL METRICS

Author(s)

TAYEBI A. | PEYGHAN E. | Issue Writer Certificate

Keywords

DOUGLAS SPACE

LANDSBERG METRIC

THE NON-RIEMANNIAN QUANTITY H

Abstract

In this paper, we study a special class of generalized Douglas-Weyl metrics whose Douglas curvature is constant along any Finslerian geodesic. We prove that for every LANDSBERG METRIC in this class of Finsler metrics, E=0 if and only if H=0. Then we show that every Finsler metric of non-zero isotropic flag curvature in this class of metrics is a Riemannian if and only if E=0.

Cites

GENERALIZED DOUGLAS-WEYL FINSLER METRICS

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APA: Copy

TAYEBI, A., & PEYGHAN, E.. (2012). ON SPECIAL GENERALIZED DOUGLAS-WEYL METRICS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 23(2), 179-184. SID. https://sid.ir/paper/608584/en

Vancouver: Copy

TAYEBI A., PEYGHAN E.. ON SPECIAL GENERALIZED DOUGLAS-WEYL METRICS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2012;23(2):179-184. Available from: https://sid.ir/paper/608584/en

IEEE: Copy

A. TAYEBI, and E. PEYGHAN, “ON SPECIAL GENERALIZED DOUGLAS-WEYL METRICS,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 23, no. 2, pp. 179–184, 2012, [Online]. Available: https://sid.ir/paper/608584/en

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