ZHONG Chengkui,ZHAO Peihao,SHI Ke.[J].数学年刊A辑,1999,20(3):363~368 |
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{\tf S}$^{\bold 1}${\td X}{\tf S}$^{\bold 1}$-INDEX THEORY ONPRODUCT SPACE |
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DOI: |
中文关键词: |
英文关键词:Index, Equivariant mapping, Critical point,
Critical value |
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中文摘要: |
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英文摘要: |
A new index is constructed by use of the canonical representation
of $S^1\times S^1$ group over a product space. This index
satisfies the general properties of the usual index but does not
satifsy the dimension property. As an application, two abstract
critical point theorems are given. |
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