Hopf-type theorem for 2-type topolgical two spheres in S7(S7中2型拓扑球面的Hopf型定理)

得到了如下Hopf型的唯一性定理:拓扑球面S到S7中的2型浸入x一定是x=(αx1, βx2), α2+β2=1,其中x1(S),x2(S)分别是R3中的单位球面和S4中Veronese曲面.

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Bibliographic Details
Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 29; no. 2; pp. 135 - 139
Main Author ZHANGYuan-zheng(张远征)
Format Journal Article
LanguageChinese
Published Zhejiang University Press 01.03.2002
Subjects
2型曲面
全纯微分形式
拓扑球面
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ISSN1008-9497

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Summary:得到了如下Hopf型的唯一性定理:拓扑球面S到S7中的2型浸入x一定是x=(αx1, βx2), α2+β2=1,其中x1(S),x2(S)分别是R3中的单位球面和S4中Veronese曲面.
ISSN:1008-9497