Mean curvature flow of Pinched submanifolds to spheres

By Ben Andrews, C. Baker. 2010

119 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Radiology, Nuclear Medicine and Imaging

View Paper: https://www.semanticscholar.org/paper/e86a4dcace84b096d5e193a3d5b8e1b0c8b9136a

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. J. Gu
2. Knut Smoczyk
3. Hong-wei Xu
4. D. Joyce
5. Y. Xin
6. Qi Ding

In Geometry and Topology

1. J. Gu
2. Knut Smoczyk
3. Hong-wei Xu
4. D. Joyce
5. Y. Xin
6. Qi Ding

In Radiology, Nuclear Medicine and Imaging

1. Knut Smoczyk
2. J. Gu
3. Hong-wei Xu

Citations in the corpus

• Mean Curvature Flow in Higher Codimension: Introduction and Survey (2011, result): “Example 4.6. a) It follows from Theorem 4.4 that the class F (m,m + 1) of smooth m-dimensional closed immersions into Rm+1 is δ-pinchable for any δ ≥ 1/m = δF(m,m+1) and that the pinching constant δF(m,m+1) is attained if and only if the immersion F : M → Rn is a round sphere or a flat plane (or par”
• The sphere theorems for manifolds with positive scalar curvature (2011, background): “4 improve the differentiable pinching theorems due to Andrews-Baker and the authors [1, 45].”