ZHONG Chengkui,ZHAO Peihao,SHI Ke.[J].数学年刊A辑,1999,20(3):363~368
{\tf S}$^{\bold 1}${\td X}{\tf S}$^{\bold 1}$-INDEX THEORY ONPRODUCT SPACE
  
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中文关键词:  
英文关键词:Index, Equivariant mapping, Critical point, Critical value
基金项目:
Author NameAffiliation
ZHONG Chengkui Lanzhou University, Lanzhou 730000, China 
ZHAO Peihao Lanzhou University, Lanzhou 730000, China 
SHI Ke Xinjiang University, Wulumuji 830046, China.}\***&\text{Project supported by the National Natural Science Foundation of China and the Chinese University Doctoral Foundation 
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中文摘要:
      
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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