second variation meaning in Chinese
第二变分
Examples
- In the second variation , writing a row means modifying an existing row
在第二个变体中,写一行意味着修改一个现有的行。 - This second variation is useful for implementing a serializer that applies serialization state to an existing set of objects , rather than always creating a new tree . the
第二种变化适用于实现向一组现有对象应用序列化状态的序列化程序,而不是始终创建新树。 - 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 ] 。 - One of open problems is to study harmonic maps between finsler manifolds and derive the first and second variation formula for harmonic maps between finsler manifolds . firstly , we define harmonic map between finsler manifold . in fact , it is the harmonic map from projective sphere bundle of source manifold to the projective sphere bundle of target manifold
算子的第一非零特征值凡全mk .特别地,当‘ ,二二k时, m的直径为六?当m是黎曼流形时,由moer “定理的推论直接可知m与半径为去的球等距