Lecture Notes on Mean Curvature Flow

Carlo Mantegazza

ISBN 10: 3034801440 / ISBN 13: 9783034801447

Editore: Springer Basel, CH, 2011

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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.

Codice articolo LU-9783034801447

Dati bibliografici

• Titolo: Lecture Notes on Mean Curvature Flow
• Editore: Springer Basel, CH
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 3034801440
• ISBN 13: 9783034801447
• Rilegatura: Hardback
• Edizione: 2011, Corr. 3rd Printing 2012 ed.
• Condizione: New

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Riassunto

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.