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Download Harmonic Maps, Conservation Laws and Moving Frames (Cambridge Tracts in Mathematics) fb2

by Frédéric Hélein

  • ISBN: 0521811600
  • Category: Math & Science
  • Author: Frédéric Hélein
  • Subcategory: Mathematics
  • Other formats: lrf doc lit lrf
  • Language: English
  • Publisher: Cambridge University Press; 2 edition (June 24, 2002)
  • Pages: 292 pages
  • FB2 size: 1634 kb
  • EPUB size: 1134 kb
  • Rating: 4.2
  • Votes: 670
Download Harmonic Maps, Conservation Laws and Moving Frames (Cambridge Tracts in Mathematics) fb2

Series: Cambridge Tracts in Mathematics (150). The importance of conservation laws is stressed and the concept of a 'Coulomb moving frame' is explained in detail

Communications in Partial Differential Equations, Vol. 33, Issue. Series: Cambridge Tracts in Mathematics (150). Subjects: Recreational Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Abstract Analysis, Mathematics. Recommend to librarian. 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.

The importance of conservation laws is stressed and the concept of a 'Coulomb moving frame' is explained in detail. Stores ▾. Audible Barnes & Noble Walmart eBooks Apple Books Google Play Abebooks Book Depository Alibris Indigo Better World Books IndieBound.

The book is very well written and it contains truly beautiful geometrical analysis. It's easy to get started - we will give you example code.

oceedings{Hlein2002HarmonicMC, title {Harmonic maps, conservation laws, and .

oceedings{Hlein2002HarmonicMC, title {Harmonic maps, conservation laws, and moving frames}, author {Fr{'e}d{'e}ric H{'e}lein}, year {2002} }. Frédéric Hélein. Preface Introduction Acknowledgements Notations 1. Geometric and analytic setting 2. Harmonic maps with symmetries 3. Compensations and exotic function spaces 4. Harmonic maps without symmetries 5. Surfaces with mean curvature in L2 References. View PDF. Save to Library.

Existence of normal Coulomb frames is then established by solving a variational problem in a weak sense using ideas of F. Helein (Harmonic Maps, Conservation Laws and Moving Frames, Cambridge University Press, Cambridge, 2002)

Existence of normal Coulomb frames is then established by solving a variational problem in a weak sense using ideas of F. Helein (Harmonic Maps, Conservation Laws and Moving Frames, Cambridge University Press, Cambridge, 2002). This, of course, ensures minimality, but we are also interested in classical regularity of our frames.

This book extends that theory in full detail to harmonic maps between broad .

Дата издания: 13/06/2002 Серия: Cambridge Tracts in Mathematics Язык: ENG Издание: 2 rev ed Иллюстрации: References, notations Размер: 236 x 160 mm, 627 grams Читательская аудитория: Professional & Vocational Рейтинг .

Harmonic Maps, Conservation Laws and Moving Frames. ISBN13: 9780521811606. More Books . ABOUT CHEGG.

Hélein, . Harmonic maps, conservation laws and moving frames, Cambridge Tracts in Mathematics, vol. 150. Cambridge University Press, Cambridge (2002)Google Scholar. 7. Meyer, . Rivière, . A partial regularity result for a class of stationary Yang-Mills fields in high dimension. Rev. Mat. Iberoamericana 19(1), 195–219 (2003)le Scholar. 8. Conservation laws for conformally invariant variational problems.

The theory of harmonic maps between spaces without singularities has many important applications throughout mathematics

The theory of harmonic maps between spaces without singularities has many important applications throughout mathematics. In this book, the authors set out much new material on harmonic maps between singular spaces for the first time in one place, considering in particular the case of Riemannian polyhedra, the properties of which are especially suitable for this.

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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