Harmonic maps, conservation laws and moving frames Frédéric Hélein. Cambridge tracts in mathematics 150; Cambridge tracts in mathematics and mathematical physics 150.

Hélein, Frédéric:

ISBN 10: 0521811600 / ISBN 13: 9780521811606

Published by Cambridge, Cambridge University Press, 2002

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 HEL 9780521811606 Sprache: Englisch Gewicht in Gramm: 1150.

Seller Inventory # 2508409

Bibliographic Details

• Title: Harmonic maps, conservation laws and moving frames Frédéric Hélein. Cambridge tracts in mathematics 150; Cambridge tracts in mathematics and mathematical physics 150.
• Publisher: Cambridge, Cambridge University Press
• Publication Date: 2002
• Language: English
• ISBN 10: 0521811600
• ISBN 13: 9780521811606
• Binding: Hardcover
• Edition: 2nd Edition
• Weight: 1150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces.

Book Description

The author provides an accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. It introduces the necessary mathematical tools for the study of harmonic maps and presents applications of the methods and theory, bringing in results from recent research on the regularity of weak solutions. The book will be of particular interest to graduate students and researchers in geometry, analysis and partial differential equations. It will also have a wide appeal within the mathematical physics community.