1) Conformal isotropic
共形迷向
2) isotropy manifold
迷向流形
3) isotropic submanifolds
迷向子流形
1.
Under the condition of equivalence of isotropic submanifolds and via divergence theorem,it is concluded that if the section curvature of Mn is not less than n2(n+1)(H2+),then Mn is a totally umblilic submanifold or a Veronese submanifold in a totally umbilical hypersurface of Sn+p().
设Mn为Sn+p(c~)中迷向子流形,H为Mn的常数平均曲率。
4) Coisotropic submanifold
余迷向子流形
5) Conformal Vector
共形向量
6) isotropic
[英][,aisə'trɔpik] [美][,aɪsə'trɑpɪk]
迷向
1.
This paper discusses the relations between a 2-harmonic submanifold and aminimal submanifold with isotropic second fundmental form in Sn+p and obtains thepinching conditions on the second fundmental form and the Ricci curvature for compact 2-harmonic submanifolds in Sn+p.
研究了ｎ＋Ｐ维单位球面中具有迷向第一基本形式的ｎ维２－调和子流形与极小子流形之间的关系，获得了关于第二基本形式与Ｒｉｃｃｉ曲率的拼挤条件。
2.
In this paper,we prove that two types of isotropic totally real submanifolds with flat normal bundle in a complex projective space must be minimal.
证明了复射影空间中两种类型法丛平坦的全实迷向子流形必是极小的,并在紧致的情形确定了它们的具体形状。
补充资料：非迷向核
非迷向核
anisotropic kernel
非迷向核!咖即肋叩ic缺mel;a。“3oTpon。，，压pc门 定义在域k上的半单代数群(a辱braic group)G的子群D，它是极大k分裂环面SCG的中心化子的换位子群，即D=「Z。(S)，Z。(S)〕.非迷向核D是定义在k上的半单非迷向群(anisotropic梦oup);ranko=以nkG一ran城G.非迷向核的概念在研究G的人结构中起重要作用“11).设D=G，即ran从G二O，则G在k上是非迷向的;如果D=(e)，则群G称为在k上是拟分裂的(quasi一split).
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参考词条