Eigenvalues of $$(-\triangle + \frac{R}{2})$$ on manifolds with nonnegative curvature operator
Eigenvalues of $$(-\triangle + \frac{R}{2})$$ on manifolds with nonnegative curvature operator
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DOI：
10.1007/s00208-006-0043-5
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发表时间：
2006-09
影响因子：
1.4
通讯作者：
Xiaodong Cao
中科院分区：
文献类型：
--
作者：
Xiaodong Cao
本文证明了具有非负曲率算子的流形的特征值在Ricci流下是不减的。证明了唯一具有非负曲率算子的稳定Ricci呼吸子是Ricci平坦的平凡呼吸子。
In this paper, we show that the eigenvalues ofare nondecreasing under the Ricci flow for manifolds with nonnegative curvature operator. Then we show that the only steady Ricci breather with nonnegative curvature operator is the trivial one which is Ricci-flat.