obata meaning in Chinese
大
尾
小俣
Examples
- The second part consist of chapter four . in chapter one , we study the energy density of harmonic map from finsler manifold and generalize classical result in [ se ] . in chapter two , we obtain lower estimates for the first eigenvalue of the laplace operator on a compact finsler manifold , and it generalize lichnerowicz - obata theorem [ li ] [ ob ] . in chapter three , we derive the first and second variation formula for harmonic maps between finsler manifolds . as an application , some nonexistence theorems of nonconstant stable harmonic maps from a finsler manifold to a riemannian manifold are given
第一章讨论finsler流形到黎曼流形调和映射的能量密度的间隙性,推广了[ se ]中的结果。第二章对紧致finsler流形上laplace算子的第一特征值的下界作了估计,推广了黎曼流形上的lichnerowicz - obata定理[ li ] [ ob ] 。