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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Liouville Properties on gradient shrinking Ricci solitons with constant scalar curvature
常标量 曲率梯度收缩 Ricci孤子 Liouville性质
2023/11/13
In this talk we show that bounded harmonic functions are constant on gradient shrinking Ricci solitons with CSC by frequency function method. As an application, we show that the space of harmonic func...
ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
SHRINKING RICCI SOLITONS CONFORMALLY FLAT
2015/8/17
In this paper, we first apply an integral identity on Ricci solitons to prove that
closed locally conformally flat gradient Ricci solitons are of constant sectional curvature.
We then ge...
Compact Gradient Shrinking Ricci Solitons with Positive Curvature Operator
Positive Curvature Operator Shrinking Ricci Solitons
2015/8/17
In this paper, we first derive several identities on a compact shrinking Ricci
soliton. We then show that a compact gradient shrinking soliton must be
Einstein, if it admits a Riemannian metri...