In this paper,we study conformal vector fields on a Randers manifold with certain curvature properties.In particular,we completely determine conformal vector fields on a Randers manifold of weakly isotropic flag curva...In this paper,we study conformal vector fields on a Randers manifold with certain curvature properties.In particular,we completely determine conformal vector fields on a Randers manifold of weakly isotropic flag curvature.展开更多
In this paper, we find some new homogeneous manifolds G/H admitting non-Riemannian EinsteinRanders metrics when G is the compact simple Lie group E6, or E7 or E8. In the beginning, we prove that these homogeneous mani...In this paper, we find some new homogeneous manifolds G/H admitting non-Riemannian EinsteinRanders metrics when G is the compact simple Lie group E6, or E7 or E8. In the beginning, we prove that these homogeneous manifolds admit Riemannian Einstein metrics. Based on these metrics, we obtain non-Riemannian Einstein Randers metrics on them.展开更多
Moll Flanders is one of Daniel Defoe＇s masterpieces. The protagonist--Moll Flanders is a female character from lower class that Daniel Defoe first depicted in his novel. The image of Moll Flanders has attracted the a...Moll Flanders is one of Daniel Defoe＇s masterpieces. The protagonist--Moll Flanders is a female character from lower class that Daniel Defoe first depicted in his novel. The image of Moll Flanders has attracted the attention of many critics since it was created. Critics viewed her as a ＂whore＂, because she had been married for five times in the comparatively conservative society. This paper attempts to analyze the feminist thoughts of the protagonist--Moll Flanders and makes an exploration upon Moll Flanders＇ fate from the perspective of feminism so as to encourage females to pursue whatever they want in order to acquire equal rights with men.展开更多
We present Finslerian perturbation for the ∧CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry e...We present Finslerian perturbation for the ∧CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry even ff the scalar perturbations of the FRW metric vanish. In Randers-Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers-Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.展开更多
基金supported by National Science Foundation of USA (Grant No. DMS-0810159)National Natural Science Foundation of China (Grant No. 11171297)Natural Science Foundationof Zhejiang Province (Grant No. Y6110027)
文摘In this paper,we study conformal vector fields on a Randers manifold with certain curvature properties.In particular,we completely determine conformal vector fields on a Randers manifold of weakly isotropic flag curvature.
基金supported by National Natural Science Foundation of China(Grant Nos.10971104,11001133 and 11221091)
文摘In this paper, we find some new homogeneous manifolds G/H admitting non-Riemannian EinsteinRanders metrics when G is the compact simple Lie group E6, or E7 or E8. In the beginning, we prove that these homogeneous manifolds admit Riemannian Einstein metrics. Based on these metrics, we obtain non-Riemannian Einstein Randers metrics on them.
文摘Moll Flanders is one of Daniel Defoe＇s masterpieces. The protagonist--Moll Flanders is a female character from lower class that Daniel Defoe first depicted in his novel. The image of Moll Flanders has attracted the attention of many critics since it was created. Critics viewed her as a ＂whore＂, because she had been married for five times in the comparatively conservative society. This paper attempts to analyze the feminist thoughts of the protagonist--Moll Flanders and makes an exploration upon Moll Flanders＇ fate from the perspective of feminism so as to encourage females to pursue whatever they want in order to acquire equal rights with men.
基金Supported by National Natural Science Foundation of China under Grant Nos.11375203 and 11305181
文摘We present Finslerian perturbation for the ∧CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry even ff the scalar perturbations of the FRW metric vanish. In Randers-Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers-Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.
