3 citations · 5 across the 5 of their papers we have counts for
6 papers
Sharp Constants, Threshold, and Failure of Uncertainty Principles on Non-trivial Flat Finsler Manifolds
Benling Li, Zhenkai Xu
By uncertainty principles we mean the generalized Caffarelli--Kohn--Nirenberg (CKN) inequality and the Heisenberg--Pauli--Weyl (HPW) uncertainty principle, with the latter being an…
On Landsberg general -metrics with a conformal 1-form
Shasha Zhou, Benling Li
In this paper, we study almost regular Landsberg general -metrics in Finsler geometry. The corresponding equivalent equations are given. By solving the equations, we give th…
On Douglas general -metrics
Xiaoming Wang, Benling Li
Douglas metrics are metrics with vanishing Douglas curvature which is an important projective invariant in Finsler geometry. To find more Douglas metrics, in this paper we consider…
On a class of projectively flat Finsler metrics
Benling Li, Zhongmin Shen
In this paper, we study a class of Finsler metrics composed by a Riemann metric and a -form called general (, )-metrics. We class…
Finsler metrics of weakly isotropic flag curvature
Benling Li
Finsler metrics of scalar flag curvature play an important role to show the complexity and richness of general Finsler metrics. In this paper, on an -dimensional manifold we…
On the classification of projectively flat Finsler metrics with constant flag curvature
Benling Li
In this paper, we study locally projectively flat Finsler metrics with constant flag curvature . We prove those are totally determined by their behaviors at the origin by…