The Projectively Flat Conditions of One Special Class (α, β)-Metrics

Wen Jing Zhao; Yan  Yan; Li Nan  Shi; Bo Chao Qu

doi:10.4028/www.scientific.net/AMR.756-759.2528

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759The Projectively Flat Conditions of One Special...

The Projectively Flat Conditions of One Special Class (α, β)-Metrics

Abstract:

The-metric is an important class of Finsler metrics including Randers metric as the simplest class, and many people research the Randers metrics. In this paper, we study a new class of Finsler metrics in the form ,Whereis a Riemannian metric, is a 1-form. Bengling Li had introduced the projective flat of the-Metric F. We find another method which is about flag curvature to prove the projective flat conditions of this kind of-metric.

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Periodical:

Advanced Materials Research (Volumes 756-759)

Pages:

2528-2532

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.756-759.2528

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Online since:

September 2013

Authors:

Wen Jing Zhao, Yan Yan, Li Nan Shi, Bo Chao Qu

Keywords:

(α, β)-Metric, Flag Curvature, Projectively Flat Metrics

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