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
Abstract. In this paper the cubic homogeneous parameterized vector fields aJre studied.The classification of the phase portrait near the critical point is presented. This classifica- tion is an extension of the result...Abstract. In this paper the cubic homogeneous parameterized vector fields aJre studied.The classification of the phase portrait near the critical point is presented. This classifica- tion is an extension of the result given by Takens to the cubic homogeneous parameterizedvector fields with six parameters.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National Key Basic Research Special Fund(No.1998020307) National Natural Science Foundation of China(No.19990510).
文摘Abstract. In this paper the cubic homogeneous parameterized vector fields aJre studied.The classification of the phase portrait near the critical point is presented. This classifica- tion is an extension of the result given by Takens to the cubic homogeneous parameterizedvector fields with six parameters.