例句與造句

1. 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
   第一章討論finsler流形到黎曼流形調(diào)和映射的能量密度的間隙性，推廣了[ se ]中的結(jié)果。第二章對緊致finsler流形上laplace算子的第一特征值的下界作了估計，推廣了黎曼流形上的lichnerowicz - obata定理[ li ] [ ob ] 。
2. 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 .特別地，當(dāng)‘ ，二二k時， m的直徑為六?當(dāng)m是黎曼流形時，由moer “定理的推論直接可知m與半徑為去的球等距
3. It's difficult to find second variation formula in a sentence. 用second variation formula造句挺難的