جریان انحنای میانگین: مجموعه مقالات سخنرانی های یادبود جان اچ. بارت برگزار شده در دانشگاه تنسی، ناکسویل، ۲۹ مه تا ۱ ژوئن ۲۰۱۸، ۲۰۲۰
Mean Curvature Flow: Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29–June 1, 2018 2020

1. Foreword

2. Contents

3. Introducing Mean Curvature Flow

4. Self-similar solutions of mean curvature flow

5. Ancient solutions in geometric flows

6. An extension to the Morse energy gradient flow

7. Regularity of non-compact inverse mean curvature flow

8. Area preserving curve shortening flow

9. Second Order Renormalization Group Flow

10. Analysis of Velàzquez’s solution to the mean curvature flow with a type II singularity

11. Some recent applications of mean curvature flow with surgery

12. Identifying shrinking solitons by their asymptotic geometries

13. Geometric singularities under the Gigli-Mantegazza flow

14. Pinched ancient solutions to high codimension mean curvature flow

15. On the unknoteddness of self shrinkers in R³

16. Gluing constructions for self-translating and self-shrinking surfaces under mean curvature flow

17. The level set flow of a hypersurface in R4 of low entropy does not disconnect

18. Application of Mean Curvature Flow for surface parametrizations