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rigidity theorem的中文,翻译,解释,例句

rigidity theorem

rigidity theorem的基本解释
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刚性定理

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The compact minimal submanifold of a Locally symmetric and conformally flat Riemannian manifold are studied, and obtain the following intrinsic rigidity theorem.

研究了局部对称共形平坦黎曼流形的紧致极小子流形,即设M是局部对称共形平坦黎曼流形的n维紧致极小子流形,得到了这种子流形的若干内蕴刚性积分不等式,给出了流形全测地的限制条

On the other hand , illuminated by close relation between harmonic maps and sumanifold theory, we have also researched in-depth about some relative problems in submanifolds theory which include: the estimate of heat kernel and eigenvalue and it geometric application of submanifolds with or without boundary; many kinds of pinching problem of submanifolds which include the rigidity theorem, topological sphere theorem, differential sphere theorem and topological finite theorem.

另外,鉴于调和映照与子流形之间的密切关系,我们还要深入研究子流形几何中与之相关的一些问题,主要包括:带边与不带边子流形的热核与特征值估计及其几何应用;子流形的刚性定理、拓扑球定理、微分球面定理、拓扑有限性定理等各类Pinching问题。

In 1986, H. Gauchman proved another famous rigidity theorem for compact minimal submanifolds in a sphere: Let M be an n-dimensional compact minimal subman-ifold in S~(1), if σ≤ 1/3 holds for any unit vector u ∈ UM, then either σ≡ 0, i.e..

若对任意单位切向量u∈UM,有σ≤1/3,其中σ=‖h‖~2,则σ≡0,即M是全测地子流形;或者σ≡1/3,并且要完全确定这类极小子流形的几何结构。

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rigidity theorem:刚性定理

rigidity 刚性 | rigidity theorem 刚性定理 | rigorous solution 严格解