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| S^1*S^1-INDEX THEORY ON PRODUCT SPACE |
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Citation： |
ZHONG Chengkui,ZHAO Peihao,SHI Ke.S^1*S^1-INDEX THEORY ON PRODUCT SPACE[J].Chinese Annals of Mathematics B,1999,20(3):363~368 |
| Page view： 1123
Net amount： 792 |
Authors： |
ZHONG Chengkui; ZHAO Peihao;SHI Ke |
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| Abstract： |
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. |
Keywords： |
Index, Equivariant mapping, Critical point,
Critical value |
Classification： |
47H09, 49J45, 58E05 |
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