The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications.
The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
James Eells is Professor of Mathematics at the University of Warwick. Andrea Ratto is Professor Mathematics at the Universite de Bretagne Occidentale in Brest.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Gratuit expédition vers Etats-Unis
Destinations, frais et délaisEUR 5,99 expédition vers Etats-Unis
Destinations, frais et délaisVendeur : BooksRun, Philadelphia, PA, Etats-Unis
Paperback. Etat : Good. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. N° de réf. du vendeur 069110249X-11-1
Quantité disponible : 1 disponible(s)
Vendeur : HPB-Red, Dallas, TX, Etats-Unis
paperback. Etat : Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_433380996
Quantité disponible : 1 disponible(s)
Vendeur : Powell's Bookstores Chicago, ABAA, Chicago, IL, Etats-Unis
Etat : Used - Very Good. 1993. Paperback. Pap. Clean copy with minimal shelf-wear. Very Good. N° de réf. du vendeur SON000061399
Quantité disponible : 1 disponible(s)
Vendeur : Munster & Company LLC, ABAA/ILAB, Corvallis, OR, Etats-Unis
Paperback. Etat : Very Good. Princeton, New Jersey: Princeton University Press, 1993. 228 pp. 23.5 x 15.5 cm. Glossy stiff paper wrappers, printed orange with black titling. Some faint rubbing to covers. Interior is clean and unmarked. Binding sound with no creases or cracks. . Soft Cover. Very Good. N° de réf. du vendeur 627575
Quantité disponible : 1 disponible(s)
Vendeur : Black Gull Books (P.B.F.A.), St Leonard's on Sea, Royaume-Uni
paperback. Etat : Very Good. N° de réf. du vendeur 09911
Quantité disponible : 1 disponible(s)
Vendeur : Plurabelle Books Ltd, Cambridge, Royaume-Uni
Paperback. Etat : Very Good. Series: Annals of Mathematical Studies. 228p bright orange paperback, very good condition, minimal wear, slight creasing along edges, spine sunned, binding firm, pages clear and bright, free from highlighting and handwriting, a very good copy Language: English Weight (g): 340. N° de réf. du vendeur 233610
Quantité disponible : 1 disponible(s)
Vendeur : MW Books Ltd., Galway, Irlande
1st edition. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Physical description; 228 pp., illustrations, 25 cm. Notes; Annals of mathematics studies, no. 130. Includes bibliographical references (pp. 213-223) and index. Contents; Introduction -- Pt. I Basic Variational and Geometrical Properties -- Ch. I Harmonic maps and minimal immersions -- Basic properties of harmonic maps (starting p. 13) -- Minimal immersions (starting p. 20) -- Ch. II Immersions of parallel mean curvature -- Parallel mean curvature (starting p. 24) -- Alexandrov's theorem (starting p. 29) -- Ch. III Surfaces of parallel mean curvature -- Theorems of Chern and Ruh-Vilms (starting p. 34) -- Theorems of Almgren-Calabi and Hopf (starting p. 37) -- On the Sinh-Gordon equation (starting p. 40) -- Wente's theorem (starting p. 42) -- Ch. IV Reduction techniques -- Riemannian submersions (starting p. 48) -- Harmonic morphisms and maps into a circle (starting p. 51) -- Isoparametric maps (starting p. 54) -- Reduction techniques (starting p. 58) -- Pt. II G-Invariant Minimal and Constant Mean Curvature Immersions -- Ch. V First examples of reductions -- G-equivariant harmonic maps (starting p. 64) -- Rotation hypersurfaces in spheres (starting p. 74) -- Constant mean curvature rotation hypersurfaces in R[superscript n] (starting p. 81) -- Ch. VI Minimal embeddings of hyperspheres in S[superscript 4] -- Derivation of the equation and main theorem (starting p. 92) -- Existence of solutions starting at the boundary (starting p. 95) -- Analysis of the O.D.E. and proof of the main theorem (starting p. 102) -- Ch. VII Constant mean curvature immersions of hyperspheres into R[superscript n] -- Statement of the main theorem (starting p. 111) -- Analytical lemmas (starting p. 114) -- Proof of the main theorem (starting p. 120) -- Pt. III Harmonic Maps Between Spheres -- Ch. VIII Polynomial maps -- Eigenmaps S[superscript m] [actual symbol not reproducible] S[superscript n] (starting p. 129) -- Orthogonal multiplications and related constructions (starting p. 137) -- Polynomial maps between spheres (starting p. 143) -- Ch. IX Existence of harmonic joins -- The reduction equation (starting p. 151) -- Properties of the reduced energy functional J (starting p. 154) -- Analysis of the O.D.E. (starting p. 157) -- The damping conditions (starting p. 161) -- Examples of harmonic maps (starting p. 167) -- Ch. X The harmonic Hopf construction -- The existence theorem (starting p. 171) -- Examples of harmonic Hopf constructions (starting p. 179) -- [pi][subscript 3](S[superscript 2] and harmonic morphisms (starting p. 182) -- Appendix 1 Second variations (starting p. 188) -- Appendix 2 Riemannian immersions S[superscript m] [actual symbol not reproducible] S[superscript n] (starting p. 200) -- Appendix 3 Minimal graphs and pendent drops (starting p. 204) -- Appendix 4 Further aspects of pendulum type equations (starting p. 208) -- References (starting p. 213) -- Index (starting p. 224). Subjects; Harmonic maps. Immersions (Mathematics). Differential equations, Elliptic Numerical solutions. Calcul variation. Construction harmonique Hopf. 1 Kg. N° de réf. du vendeur 385201
Quantité disponible : 2 disponible(s)
Vendeur : Anybook.com, Lincoln, Royaume-Uni
Etat : Good. Volume 130. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9780691102498. N° de réf. du vendeur 5764564
Quantité disponible : 1 disponible(s)
Vendeur : BennettBooksLtd, San Diego, NV, Etats-Unis
paperback. Etat : New. In shrink wrap. Looks like an interesting title! N° de réf. du vendeur Q-069110249X
Quantité disponible : 1 disponible(s)
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Etat : New. N° de réf. du vendeur 933309-n
Quantité disponible : 1 disponible(s)