Scalar curvature bound and compactness results for Ricci harmonic solitons
Scalar curvature bound and compactness results for Ricci harmonic solitons
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DOI：
10.1090/proc/13410
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发表时间：
2016-08
期刊：
影响因子：
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通讯作者：
Guoqiang Wu
中科院分区：
文献类型：
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作者：
Guoqiang Wu
在本文中，我们研究了梯度Ricci谐波孤子。对于非紧梯度收缩 Ricci 谐波孤子，我们证明标量曲率至多具有二次衰减。给定一些曲率条件，我们证明这些收缩的孤子必须是紧致的。在二维中，我们可以用较弱的假设得到类似的结果。参考
In this paper, we study the gradient Ricci harmonic soliton. For noncompact gradient shrinking Ricci harmonic solitons, we prove that the scalar curvature has at most quadratic decay. Given some curvature conditions, we prove that these shrinking solitons must be compact. In two dimensions, we can get similar results with weaker assumptions. References