Prescribed scalar curvature equation on ⁿ in the presence of reflection or rotation symmetry

Prescribed scalar curvature equation on ⁿ in the presence of reflection or rotation symmetry
复制标题

存在反射或旋转对称时 ⁿ 上的规定标量曲率方程

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
Feng Zhou
Feng Zhou
中科院分区:
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文献类型:
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作者:
M. Leung;Feng Zhou

文献摘要

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。利用保形标量曲率方程的流动方程,我们给出了规定函数K具有反射对称或旋转对称(不动点集为F)的存在性定理。我们还证明了不能完全去掉“一个泡”条件,即S n K) τ < 2·)τ。这里τ = 12 (n−2)。
. Using the flow equation for the conformal scalar curvature equation, we present existence theorems in cases where the prescribed function K exhibits reflection or rotation symmetry (with fixed point set denoted by F ). We also demonstrate that the “one bubble” condition, namely, S n K ) τ < 2 · ) τ , cannot be totally taken away. Here τ = 12 ( n − 2) .