PROJECTIVELY RELATED EINSTEIN FINSLER SPACES

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SADEGHZADEH N.; RAZAVI A.; REZAEI B.

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

Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE Year:2007 | Volume:31 | Issue:A4 Page(s): 421-429

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Information Journal Paper

Title

PROJECTIVELY RELATED EINSTEIN FINSLER SPACES

Author(s)

SADEGHZADEH N. | RAZAVI A. | REZAEI B. | Issue Writer Certificate

Keywords

PROTECTIVELY RELATED FINSLER METRICSQ3

PROJECTIVELY FLATQ3

EINSTEIN FINSLER METRICQ3

Abstract

The main objective of this paper is to find the necessary and sufficient condition of a given Finsler metric to be Einstein in order to classify the EINSTEIN FINSLER METRICs on a compact manifold. The considered EINSTEIN FINSLER METRIC in the study describes all different kinds of Einstein metrics which are point wise projective to the given one. This study has resulted in the following theorem that needs the proof of three prepositions. Let F be a Finsler metric tric (n >2) projectively related to an Einstein non-protectively flat Finsler metric F- , then F is Einstein if and only if F = l F- where l is a constant. A Schur type lemma is also proved.

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APA: Copy

SADEGHZADEH, N., RAZAVI, A., & REZAEI, B.. (2007). PROJECTIVELY RELATED EINSTEIN FINSLER SPACES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 31(A4), 421-429. SID. https://sid.ir/paper/117964/en

Vancouver: Copy

SADEGHZADEH N., RAZAVI A., REZAEI B.. PROJECTIVELY RELATED EINSTEIN FINSLER SPACES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2007;31(A4):421-429. Available from: https://sid.ir/paper/117964/en

IEEE: Copy

N. SADEGHZADEH, A. RAZAVI, and B. REZAEI, “PROJECTIVELY RELATED EINSTEIN FINSLER SPACES,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 31, no. A4, pp. 421–429, 2007, [Online]. Available: https://sid.ir/paper/117964/en

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