On a Class of Finsler Metrics of Scalar Flag Curvature
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DOI: 10.1007/s00025-016-0539-6
Abstract: In this paper, we prove that a class of general $${(\alpha, \, \beta)}$$(α,β)-metric are of scalar flag curvature if and only if they are locally projectively flat under certain conditions (Theorem 1.1). Moreover, we find… read more here.
Keywords: finsler metrics; class; scalar flag; flag curvature ... See more keywords
On some classes of projectively flat Finsler metrics with constant flag curvature
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DOI: 10.1016/j.difgeo.2019.101579
Abstract: Abstract In this paper, we give the equivalent PDEs for projectively flat Finsler metrics with constant flag curvature defined by a Euclidean metric and two 1-forms. Furthermore, we construct some classes of new projectively flat… read more here.
Keywords: flat finsler; finsler metrics; metrics constant; constant flag ... See more keywords
On a class of projectively Ricci-flat Finsler metrics
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DOI: 10.1016/j.difgeo.2020.101680
Abstract: Abstract Every Finsler metric induces a spray on a manifold. With a volume form on a manifold, every spray can be deformed to a projective spray. The Ricci curvature of a projective spray is called… read more here.
Keywords: finsler metrics; ricci flat; finsler; ricci curvature ... See more keywords
On invariant Finsler metrics under (almost) β-changes
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DOI: 10.1142/s0219887817501560
Abstract: In this paper, we are going to study some β-changes of the special class of Finsler metrics which we refer to as the (almost) β-change and generalized (almost) β-conformal changes. We investigate Douglas and Weyl… read more here.
Keywords: metrics almost; finsler metrics; almost changes; finsler ... See more keywords