On the Class of (q, α, β)-Metrics. (10th March 2014)

• Record Type: Journal Article
• Authors: Alimohammadi, Ahmad
• Other Names: Fino A. Academic Editor.; Qu C. Academic Editor.; Shi F. Academic Editor.
• Is Part Of: ISRN geometry. Volume 2014(2014)
• Publication Date: 2014-03-10
• Subjects: Geometry -- Periodicals; Topology -- Periodicals; Geometry; Topology; Periodicals; 516
• DOI: 10.1155/2014/596090
• Languages: English
• ISSNs: 2090-6307

Abstract

Abstract : We study a class of Finsler metrics in the form F = α + β q / α q - 1, where α is a Riemannian metric, β is a 1 -form, and 1 < q < 2 . F is called ( q, α, β ) -metrics. We find the necessary and sufficient conditions under which the class of ( q, α, β ) -metrics is locally projectively flat and Douglas metrics, respectively.