Lecture Notes on Mean Curvature Flow

By Carlo Mantegazza

Book Overview

Foreword.- Chapter 1. Definition and Short Time Existence.- Chapter 2. Evolution of Geometric Quantities.- Chapter 3. Monotonicity Formula and Type I Singularities.- Chapter 4. Type II Singularities.- Chapter 5. Conclusions and Research Directions.- Appendix A. Quasilinear Parabolic Equations on Manifolds.- Appendix B. Interior Estimates of Ecker and Huisken.- Appendix C. Hamilton's Maximum Principle for Tensors.- Appendix D. Hamilton's Matrix Li-Yau-Harnack Inequality in Rn.- Appendix E. Abresch and Langer Classification of Homothetically Shrinking Closed Curves.- Appendix F. Important Results without Proof in the Book.- Bibliography.- Index.

• Format: Paperback
• Language: English
• ISBN: 3034803400
• ISBN13: 9783034803403
• Release Date: November 2013
• Publisher: Birkhauser
• Length: 168 Pages
• Weight: 0.57 lbs.
• Dimensions: 0.5" x 6.1" x 9.1"