English translation for "second variation formula"
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- 第二变分公式
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- Example Sentences:
| 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 ] 。 | | 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 |
- Similar Words:
- "second united front (china)" English translation, "second unpaid" English translation, "second value axis" English translation, "second variable" English translation, "second variation" English translation, "second variety" English translation, "second vatican council" English translation, "second vein" English translation, "second ventral groove" English translation, "second ventricle" English translation
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