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Lecture Notes on Mean Curvature Flow

Lecture Notes on Mean Curvature Flow

Paperback

Series: Progress in Mathematics, Book 290

General MathematicsGeometry

ISBN10: 3034803400
ISBN13: 9783034803403
Publisher: Springer Nature
Published: Nov 27 2013
Pages: 168
Weight: 0.57
Height: 0.50 Width: 6.10 Depth: 9.10
Language: English

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.

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