ENGLISH

Lecture Notes on Mean Curvature Flow

By Carlo Mantegazza (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2011
ISBN
3034801440, 9783034801447
DOI
10.1007/978-3-0348-0145-4
LCC
QA614.82 .M36 2011
Open Library ID
OL25173483M
Language
english
Format
PDF
Filesize
2 MB (2539541 bytes)
Series
Progress in Mathematics 290
Edition
1
Pages
168\179
Orientation
yes
Scanned
no
Time added
2012-02-14 18:00:00
Analysis

Description

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.

Similar books