Lecture Notes on Mean Curvature Flow

  • Carlo Mantegazza

Part of the Progress in Mathematics book series (PM, volume 290)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Carlo Mantegazza
    Pages 1-23
  3. Carlo Mantegazza
    Pages 25-47
  4. Carlo Mantegazza
    Pages 49-84
  5. Carlo Mantegazza
    Pages 85-114
  6. Carlo Mantegazza
    Pages 115-122
  7. Back Matter
    Pages 123-166

About this book


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.


geometric analysis mean curvature flow parametric approach

Authors and affiliations

  • Carlo Mantegazza
    • 1
  1. 1.Scuola Normale Superiore di PisaPisaItaly

Bibliographic information