Harmonic Maps and Minimal Immersions with Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) (Annals of Mathematics Studies, 130) - Tapa blanda
Sinopsis
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.
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
James Eells is Professor of Mathematics at the University of Warwick. Andrea Ratto is Professor Mathematics at the Universite de Bretagne Occidentale in Brest.
"Sobre este título" puede pertenecer a otra edición de este libro.
Otras ediciones populares con el mismo título
Resultados de la búsqueda para Harmonic Maps and Minimal Immersions with Symmetries:...
Imagen de archivo
Harmonic Maps and Minimal Immersions with Symmetries
Publicado por
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Antiguo o usado
paperback
Librería: HPB-Red, Dallas, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
paperback. Condición: 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! Nº de ref. del artículo: S_433380996
Comprar usado
EUR 11,48
Gastos de envío:
EUR 3,22
A Estados Unidos de America
Cantidad disponible: 1 disponibles
Imagen de archivo
Harmonic Maps and Minimal Immersions with Symmetries : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems (Annals of Mathematics Studies, No. 130)
Publicado por
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Antiguo o usado
Tapa blanda
Librería: Powell's Bookstores Chicago, ABAA, Chicago, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Used - Very Good. 1993. Paperback. Pap. Clean copy with minimal shelf-wear. Very Good. Nº de ref. del artículo: SON000061399
Comprar usado
EUR 14,82
Gastos de envío:
EUR 3,86
A Estados Unidos de America
Cantidad disponible: 1 disponibles
Imagen del vendedor
Harmonic Maps and Minimal Immersions with Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems
Publicado por
Princeton University Press, Princeton, New Jersey, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Antiguo o usado
Paperback
Librería: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: 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. Nº de ref. del artículo: 627575
Comprar usado
EUR 17,69
Gastos de envío:
EUR 1,67
A Estados Unidos de America
Cantidad disponible: 1 disponibles
Imagen de archivo
Harmonic Maps and Minimal Immersions with Symmetries
Publicado por
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Antiguo o usado
paperback
Librería: Black Gull Books (P.B.F.A.), St Leonard's on Sea, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
paperback. Condición: Very Good. Nº de ref. del artículo: 09911
Comprar usado
EUR 10,61
Gastos de envío:
EUR 14,87
De Reino Unido a Estados Unidos de America
Cantidad disponible: 1 disponibles
Imagen del vendedor
Harmonic maps and minimal immersions with symmetries : methods of ordinary differential equations applied to elliptic variational problems / James Eells and Andrea Ratto
Publicado por
Princeton, N.J. : Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Antiguo o usado
Tapa blanda
Original o primera edición
Librería: MW Books, New York, NY, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
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. Nº de ref. del artículo: 385201
Comprar usado
EUR 33,08
Gastos de envío:
GRATIS
A Estados Unidos de America
Cantidad disponible: 2 disponibles
Imagen del vendedor
Harmonic Maps and Minimal Immersions with Symmetries. Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems.
Publicado por
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Antiguo o usado
Paperback
Librería: Plurabelle Books Ltd, Cambridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: 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. Nº de ref. del artículo: 233610
Comprar usado
EUR 28,28
Gastos de envío:
EUR 9,15
De Reino Unido a Estados Unidos de America
Cantidad disponible: 1 disponibles
Imagen del vendedor
Harmonic maps and minimal immersions with symmetries : methods of ordinary differential equations applied to elliptic variational problems / James Eells and Andrea Ratto
Publicado por
Princeton, N.J. : Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Antiguo o usado
Tapa blanda
Original o primera edición
Librería: MW Books Ltd., Galway, Irlanda
Calificación del vendedor: 5 de 5 estrellas
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. Nº de ref. del artículo: 385201
Comprar usado
EUR 25,00
Gastos de envío:
EUR 13,95
De Irlanda a Estados Unidos de America
Cantidad disponible: 2 disponibles
Imagen de archivo
Annals of Mathematics Studies: Harmonic Maps and Minimal Immersions With Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems (Volume 130)
Publicado por
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Antiguo o usado
Tapa dura
Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: 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. Nº de ref. del artículo: 5764564
Comprar usado
EUR 24,59
Gastos de envío:
EUR 15,33
De Reino Unido a Estados Unidos de America
Cantidad disponible: 1 disponibles
Imagen de archivo
Harmonic Maps and Minimal Immersions with Symmetries
Publicado por
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Nuevo
paperback
Librería: BennettBooksLtd, San Diego, NV, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
paperback. Condición: New. In shrink wrap. Looks like an interesting title! Nº de ref. del artículo: Q-069110249X
Comprar nuevo
EUR 84,14
Gastos de envío:
EUR 5,97
A Estados Unidos de America
Cantidad disponible: 1 disponibles
Imagen del vendedor
Harmonic Maps and Minimal Immersions With Symmetries : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems
Publicado por
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Nuevo
Tapa blanda
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 933309-n
Comprar nuevo
EUR 122,71
Gastos de envío:
EUR 2,27
A Estados Unidos de America
Cantidad disponible: 1 disponibles