The Construcions Of A Class Of Finsler Metric With Certain Properties

Finsler geometry is Riemannian geometry,but it has no quadrat-ic restriction[1].It has important applications in other afields.With the deepening study of Riemannian geometry,Finsler geometry has become the mainstream of differential geometry.Constructing Finsler metrics has become an important task for Finsler geometry.With the development of Finsler geometry,more and more Finsler metrics have been discovered.This paper will continue the previous work and con-tinue to construct a class of Finsler metrics with special properties.In chapter 3,we use the Kropina-Randers change to construct a class of generalized m-th projectively flat Finsler metrics with constant flag K=1.In Chapter 4,we use the conditions of the spherically symmetric dually flat Finsler metrics(2.1)to constructing a class of dually flat Finsler metrics.At last,In the chapter 5,We find out the conditions of finsler met-rics which constructed by Euclidean metrics and 1 forms become both projectively flat and dually flat.