The Existence of Type II Singularities for the Ricci Flow on $S^{n+1}$

By Huiling Gu, Xiping Zhu. 2007

59 citations recorded by the source corpus.

In this paper we prove the existence of Type II singularities for the Ricci flow on $S^{n+1}$ for all $n\geq 2$.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2205db2da56c21dbfe2f069219aeae78c6c6c300

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Zhuhong Zhang
2. Huaihuo Cao

In Astronomy and Astrophysics

1. Zhuhong Zhang
2. Huaihuo Cao

In Geometry and Topology

1. Zhuhong Zhang
2. Huaihuo Cao

Citations in the corpus

• On Four-Dimensional Anti-self-dual Gradient Ricci Solitons (2011, unknown): “Ivey [19], Perelman [27], Naber [24], Ni–Wallach [25], Gu–Zhu [14], Kotschwar [22], Peterson–Wylie [28].”
• GRADIENT SHRINKING SOLITONS WITH VANISHING WEYL TENSOR (2008, background): “The first classification theorem with the dimension n ≥ 4 given by Gu-Zhu (see proposition 4.1 of [ 6 ]) says that any non-flat, �-noncollapsing, rotationally symmetric gradient shrinking soliton with bounded and nonnegative sectional curvature must be the finite quotients of S n ×R or S n+1 . Later”