second variation formula

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.

第三章给出了Finsler流形到Finsler流形映射的能量的第一变分和第二变分公式，得到了从紧致Finsler流形到某些特殊黎曼流形的非常值稳定调和映射的不存在性；

The second variation formula of vertical energy functional for a submersion between Riemannian manifolds is calculated with a simple and direct manner.

对于黎曼流形的浸没建立了垂直能量泛函的二阶变分公式，研究强垂直调和映射的稳定性。

In this paper we consider second order nonlinear terms, set up more precise dynamic system's model and derive the computation formula of terminal perturbation deviation by state variation.

本文考虑到二阶非线性项，建立起更加精密的系统模型，推导出利用状态变分计算终端干扰偏差的公式。