In this paper,we study and characterize the volume estimates of geodesic balls on Finsler gradient Ricci solitons.We get the upper bounds on the volumes of geodesic balls of all three kinds of Finsler gradient Ricci s...In this paper,we study and characterize the volume estimates of geodesic balls on Finsler gradient Ricci solitons.We get the upper bounds on the volumes of geodesic balls of all three kinds of Finsler gradient Ricci solitons under certain condition about the Laplacian of thedistance function.展开更多
The goal of this paper is to present Finslerian mechanical systems on manifolds.In conclusion,some differential geometrical and physical results on the related mechanic systems have been given.
基金Supported by NSFC(Nos.12371051,12141101,11871126)。
文摘In this paper,we study and characterize the volume estimates of geodesic balls on Finsler gradient Ricci solitons.We get the upper bounds on the volumes of geodesic balls of all three kinds of Finsler gradient Ricci solitons under certain condition about the Laplacian of thedistance function.
文摘The goal of this paper is to present Finslerian mechanical systems on manifolds.In conclusion,some differential geometrical and physical results on the related mechanic systems have been given.
基金Supported by the National Natural Science Foundation of China(No.10271097)and Research Foundation of Xiamen University(No.Y07013),Natural Science Foundation of Fujian Province.
