| Harmonic Maps, Conservation Laws and Moving Frames Revised Edition Contributor(s): Helein, Frederic (Author), H. Lein, D. Ric (Author), Bollobas, Bela (Editor) |
|
 |
ISBN: 0521811600 ISBN-13: 9780521811606 Publisher: Cambridge University Press OUR PRICE: $134.90 Product Type: Hardcover - Other Formats Published: June 2002 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Mathematical Analysis |
| Dewey: 514.74 |
| LCCN: 2001043129 |
| Series: Cambridge Tracts in Mathematics (Hardcover) |
| Physical Information: 0.8" H x 6.1" W x 9.1" (1.35 lbs) 292 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |