Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Xiaohuan Mo"'
Autor:
Xiaohuan Mo, Hongzhen Zhang
Publikováno v:
AUT Journal of Mathematics and Computing, Vol 2, Iss 2, Pp 251-274 (2021)
In this article, we are going to discuss the geometry of the navigation problem on a Finsler manifold. We will give proofs for several important local and global results.
Externí odkaz:
https://doaj.org/article/37fa3d99dec4401490dee7dc800f534d
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 045 (2009)
By using the Hawking Taub-NUT metric, this note gives an explicit construction of a 3-parameter family of Einstein Finsler metrics of non-constant flag curvature in terms of navigation representation.
Externí odkaz:
https://doaj.org/article/1729b89e2a4243fe89349469b9d72b5a
Publikováno v:
Medicine; 7/5/2024, Vol. 103 Issue 27, p1-7, 7p
Publikováno v:
Turkish Journal of Mathematics. 2022, Vol. 46 Issue 4, p1553-1564. 12p.
Autor:
Xiaohuan Mo, Hongzhen Zhang
Publikováno v:
Publicationes Mathematicae Debrecen. 101:175-187
Autor:
Xiaohuan Mo
This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and
Autor:
Xiaohuan Mo, Daxiao Zheng
Publikováno v:
The Journal of Geometric Analysis. 33
Publikováno v:
Proceedings of the American Mathematical Society.
In this paper, we study a class of Finsler measure spaces whose weighted Ricci curvature satisfies R i c ∞ = c F 2 {\mathbf {Ric}}_{\infty }=cF^{2} . This class contains all gradient Ricci solitons and Finsler Gaussian shrinking solitons. Thus Fins
Autor:
Huaifu Liu, Xiaohuan Mo
Publikováno v:
The Journal of Geometric Analysis. 31:11471-11492
In this paper, we study locally projectively flat Finsler metrics of constant flag curvature. We find equations that characterize these metrics by warped product. Using the obtained equations, we manufacture new locally projectively flat Finsler warp
Autor:
Xiaohuan Mo, Ying Li
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 200:2181-2189
We know that there are infinitely many sprays of scalar curvature which cannot be induced by any (not necessary positive definite) Finsler metric. In this paper, we show that every spray of scalar curvature satisfies the following: the rate of change