The generalized Lagrangians of matter field and gravitational fields are specified and their invariances under (ε^(mn), ξ~μ) transformations in the space-time with torsion are studied. The possible forms of couplin...The generalized Lagrangians of matter field and gravitational fields are specified and their invariances under (ε^(mn), ξ~μ) transformations in the space-time with torsion are studied. The possible forms of coupling between gravitational fields and matter field as well as the possible types of gravitational Lagrangian are derived. Some physical quantities are introduced and several interesting conclusions are discussed.展开更多
The aim of the present paper is to investigate intrinsically the notion of a concircular π-vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the c...The aim of the present paper is to investigate intrinsically the notion of a concircular π-vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the concept of concurrent vector field in Finsler geometry. Some properties of concircular π-vector fields are obtained. Different types of recurrence are discussed. The effect of the existence of a concircular π-vector field on some important special Finsler spaces is investigated. Almost all results obtained in this work are formulated in a coordinate-free form.展开更多
In this paper.we discuss Lagrangian vector field on Kahler manifold and use it to describe and solve some problem in Newtonican and Lagrangian Mechanics on Kahler Manifold.
基金Project supported by the National Natural Science Foundation of China.
文摘The generalized Lagrangians of matter field and gravitational fields are specified and their invariances under (ε^(mn), ξ~μ) transformations in the space-time with torsion are studied. The possible forms of coupling between gravitational fields and matter field as well as the possible types of gravitational Lagrangian are derived. Some physical quantities are introduced and several interesting conclusions are discussed.
文摘The aim of the present paper is to investigate intrinsically the notion of a concircular π-vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the concept of concurrent vector field in Finsler geometry. Some properties of concircular π-vector fields are obtained. Different types of recurrence are discussed. The effect of the existence of a concircular π-vector field on some important special Finsler spaces is investigated. Almost all results obtained in this work are formulated in a coordinate-free form.
文摘In this paper.we discuss Lagrangian vector field on Kahler manifold and use it to describe and solve some problem in Newtonican and Lagrangian Mechanics on Kahler Manifold.
