Manifolds, tensor analysis, and applications

✍ Scribed by Ralph Abraham; Jerrold E Marsden; Tudor S Rațiu

Publisher: Springer-Verlag
Year: 2007
Tongue: English
Leaves: 604
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 75
Edition: 3ed. Draft
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

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