| 不 动 点 集∪mi=1HPi(2n)的 对 合 |
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| 引用本文： | 刘秀贵.不 动 点 集∪mi=1HPi(2n)的 对 合[J].吉林大学学报(理学版),2002,40(2):119-121. |
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| 作者姓名： | 刘秀贵 |
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| 作者单位： | 南开大学数学系， 天津 300071 |
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| 摘 要： | 证明具有光滑非平凡对合〖WTBX〗T的r维闭流形M, 如果对合的不动点集为F=∪mi=1HPi(2n), 其中 n≥1, 则有: (1) 当r=16n时, (M,T)协边于(F×F,twist); (2) 当r>8n, 且r≠16n时, (M,T)协边于零
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| 关 键 词： | 对合 协边 不动点集 |
| 收稿时间： | 2001-07-12 |
Involutions Fixing the Disjoint Union of Copies of HP(2n) |
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| LIU Xiu-gui.Involutions Fixing the Disjoint Union of Copies of HP(2n)[J].Journal of Jilin University: Sci Ed,2002,40(2):119-121. |
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| Authors: | LIU Xiu-gui |
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| Institution: | Department of Mathematics, Nankai University, Tianjin 300071, China |
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| Abstract: | For any nontrivial differentiable involution on an r-dimensional manifold (M,T) whose fixed point set F is a disjoint union of quaternionic projective spaces of constant dimension 8n(n≥1), it is concluded that if r=16n then (M,T) is bordant to (F×F,twist), if 8n
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| Keywords: | involution bordism fixed point set |
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