Lecture notes on mean curvature flow
 Responsibility
 Carlo Mantegazza.
 Language
 English.
 Imprint
 Basel ; New York : Birkhäuser/Springer, c2011.
 Physical description
 xii, 166 p. : ill. ; 24 cm.
 Series
 Progress in mathematics (Boston, Mass.) v. 290.
Access
Available online
 dx.doi.org SpringerLink
Math & Statistics Library

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QA614.82 .M36 2011

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QA614.82 .M36 2011
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Creators/Contributors
 Author/Creator
 Mantegazza, Carlo.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 157164) and index.
 Contents

 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 LiYauHarnack 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 This book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a detailed discussion of the classical parametric approach (mainly developed by R. Hamilton and G. Huisken). They are well suited for a course at PhD/PostDoc level and can be useful for any researcher interested in a solid introduction to the technical issues of the field. All the proofs are carefully written, often simplified, and contain several comments. Moreover, the author revisited and organized a large amount of material scattered around in literature in the last 25 years.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2011
 Series
 Progress in mathematics ; v. 290
 ISBN
 9783034801447 (alk. paper)
 3034801440 (alk. paper)
 9783034801454 (eISBN)
 3034801459 (eISBN)