Mean Curvature Flow: Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29–June 1, 2018

Mean Curvature Flow: Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29–June 1, 2018 – Ebook Instant Download/Delivery ISBN(s): 9783110618365,3110618362

Product details:

• ISBN 10: 3110618362
• ISBN 13: 9783110618365
• Author: Theodora Bourni 

With contributions by leading experts in geometric analysis, this volume is documenting the material presented in the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, on May 29 – June 1, 2018. The central topic of the 2018 lectures was mean curvature flow, and the material in this volume covers all recent developments in this vibrant area that combines partial differential equations with differential geometry.

Table contents:

1. Self-similar solutions of mean curvature flow
2. Ancient solutions in geometric flows
3. An extension to the Morse energy gradient flow
4. Regularity of non-compact inverse mean curvature flow
5. Area preserving curve shortening flow
6. Second Order Renormalization Group Flow
7. Analysis of Velàzquez’s solution to the mean curvature flow with a type II singularity
8. Some recent applications of mean curvature flow with surgery
9. Identifying shrinking solitons by their asymptotic geometries
10. Geometric singularities under the Gigli-Mantegazza flow
11. Pinched ancient solutions to high codimension mean curvature flow
12. On the unknoteddness of self shrinkers in R³
13. Gluing constructions for self-translating and self-shrinking surfaces under mean curvature flow
14. The level set flow of a hypersurface in R4 of low entropy does not disconnect
15. Application of Mean Curvature Flow for surface parametrizations

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