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immersed submanifold的中文,翻译,解释,例句

immersed submanifold

immersed submanifold的基本解释
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浸入子流形

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Researches the submanifolds in nested space,for constant curvature Riemannian submanifold in quasi-constant curvature manifold and pseudo-umbilical submanifold with parallel mean curvature vector in constant curvature Riemannian submanifold,presents three sufficient conditions for this pseudo-umbilical submanifold to be total-umibilical submanifold,generalizes the result of JI Yongqiang.

对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中具有平行中曲率向量的紧致伪脐子流形,给出了这种伪脐子流形是全脐子流形的3个充分条件,推广了纪永强的相关结果。

Bernstein type theorem; Quaternion Euclidean space; minimal Lagrangian graphs; Twisted special Lagrangian submanifold; twisted normal bundle; Austere submanifolds; Real space form; Complex space form; Hamiltonian minimal submanifold; A Lagrangian submanifold with conformal Maslov form

基础科学,数学,几何、拓扑伯恩斯坦型定理;四元数欧氏空间;极小拉格朗日图;扭曲特殊拉格朗日子流形;扭曲法丛; Austere子流形;实空间形式;复空间形式;哈密尔顿极小子流形;具有共形Maslov形式的拉格朗日子流形

On the other hand, given calibration ξ in Rn+l, if it statisfies Frobenius condition, there is ξ-submanifold through every point. We know that each ξ- submanifold is homologically volume minimizing in Rn+1, so that every minimal hypersurface in Rn+1 is stable locally.

反之,给定R~(n+1)上的calibrationζ,如果它满足Frobenius可积条件,则过每一点有ζ的积分子流形M,我们知道ζ的积分子流形在其同调类中体积最小,自然M也局部是R~(n+1)中的稳定极小子流形。

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immersed submanifold:浸入的子廖

immersed manifold 浸入的廖 | immersed submanifold 浸入的子廖 | immersed variety 浸入的廖