Add to ORKGA Finsler metric on a manifold M with its flag curvature K is said to be almost isotropic flag curvature if K = 3c˙ + σ where σ and c are scalar functions on M. In this paper, we establish the intrinsic relation between scalar functions c(x) and σ(x). More general, by invoking the Ricci identities for a one form, we investigate Finsler metric of weakly isotropic flag curvature K = 3θ/F + σ and show that F has constant flag curvature if θ is horizontally parallel.The National Natural Science Foundation of China,Research Fund for the Doctoral Program of Higher Education of China中国科学引文数据库(CSCD)11-82
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Spherically symmetric Finsler. metrics form a rich class of Finsler metrics. In this paper we find e...
A Finsler metric on a manifold M with its flag curvature K is said to be almost isotropic flag curva...
The flag curvature of a Finsler metric is called a Riemannian quantity because it is an extension of...
In this paper, we study Finsler metrics of scalar flag curvature. We find that a non-Riemannian quan...
We give an explicit construction of polynomial (of arbitrary degree) (alpha, beta) metrics with scal...
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By finding Killing vector fields of general Bryant's metric we give a lot of new Finsler metric...
We study an important class of Finsler metrics — Randers metrics. We classify Randers metrics of sca...
The purpose of this article is to derive an integral inequality of Ricci curvature with respect to R...
Abstract. We constructed a two parameter family of almost regular Finsler metrics on S3. They have c...
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In this note, we study a new Finslerian quantity (C) over cap defined by the Riemannian curvature. W...
In this paper we study the special (α, β)-metric F = (α2/α-β)+ β on a manifold M. We prove that...
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