Harmonic Maps, Conservation Laws and Moving Frames
2 edition
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Word Count
72,000 words, Guess
Page Count
288 pages
Physical Format
Hardcover
Identifiers
- Internet Archiveharmonicmapscons00hele
- Internet Archiveharmonicmapscons00fhel
- Internet Archiveharmonicmapscons00hlei
- Internet Archiveharmonicmapscons0000hele_2nded
- ISBN-100521811600
and 6 more
- ISBN-139780521811606
- Goodreads3950493
- Library of Congress Control Number2001043129
- OCLC Control Number47658893
- Better World Books9780521811606
- Open LibraryOL7755332M
Classifications
- LCCQA614.73 .H45 2002
Description
The author presents 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. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. The reader is then presented with 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 self-contained 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.
First Sentence
This chapter essentially describes the objects and properties that will interest us in this work.
Subjects
Topics
Other Editions
- Harmonic Maps, Conservation Laws and Moving Frames
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