Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Harmonic Maps, Conservation Laws and Moving Frames

Harmonic Maps, Conservation Laws and Moving Frames

Helein, Frederic
Bollobas, Bela
H. Lein, D. Ric

Hardcover

Series: Cambridge Tracts in Mathematics, Book 150

General MathematicsProbability & Statistics

ISBN10: 0521811600
ISBN13: 9780521811606
Publisher: Cambridge University Press
Published: Jun 13 2002
Pages: 292
Weight: 1.35
Height: 0.80 Width: 6.10 Depth: 9.10
Language: English
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.

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