second variation formula中文什么意思

下載手機(jī)詞典可隨時隨地查詞查翻譯

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 ] 。
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

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