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Harmonic Maps and Minimal Immersions with Symmetries – Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems: 130 (Annals of Mathematics Studies, 130) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
James Eells is Professor of Mathematics at the University of Warwick. Andrea Ratto is Professor Mathematics at the Universite de Bretagne Occidentale in Brest.
"About this title" may belong to another edition of this title.
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Harmonic Maps and Minimal Immersions with Symmetries
Published by
Princeton University Press (edition ), 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
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Paperback. Condition: 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. Seller Inventory # 069110249X-11-1
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Harmonic Maps and Minimal Immersions with Symmetries
Published by
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Used
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Harmonic Maps and Minimal Immersions with Symmetries : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems (Annals of Mathematics Studies, No. 130)
Published by
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Used
Softcover
Seller: Powell's Bookstores Chicago, ABAA, Chicago, IL, U.S.A.
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Condition: Used - Very Good. 1993. Paperback. Pap. Clean copy with minimal shelf-wear. Very Good. Seller Inventory # SON000061399
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Harmonic Maps and Minimal Immersions with Symmetries
Published by
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Used
paperback
Seller: Black Gull Books (P.B.F.A.), St Leonard's on Sea, United Kingdom
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paperback. Condition: Very Good. Seller Inventory # 09911
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Harmonic maps and minimal immersions with symmetries : methods of ordinary differential equations applied to elliptic variational problems / James Eells and Andrea Ratto
Published by
Princeton, N.J. : Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Used
Softcover
First Edition
Seller: MW Books, New York, NY, U.S.A.
Seller rating 5 out of 5 stars
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. Seller Inventory # 385201
Quantity: 2 available
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Harmonic Maps and Minimal Immersions with Symmetries. Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems.
Published by
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Used
Paperback
Seller: Plurabelle Books Ltd, Cambridge, United Kingdom
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Paperback. Condition: 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. Seller Inventory # 233610
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Annals of Mathematics Studies: Harmonic Maps and Minimal Immersions With Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems (Volume 130)
Published by
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Used
Hardcover
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # 5764564
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Harmonic maps and minimal immersions with symmetries : methods of ordinary differential equations applied to elliptic variational problems / James Eells and Andrea Ratto
Published by
Princeton, N.J. : Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
Used
Softcover
First Edition
Seller: MW Books Ltd., Galway, Ireland
Seller rating 5 out of 5 stars
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. Seller Inventory # 385201
Quantity: 2 available
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Harmonic Maps and Minimal Immersions with Symmetries
Published by
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
New
paperback
Seller: BennettBooksLtd, San Diego, NV, U.S.A.
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paperback. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-069110249X
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Harmonic Maps and Minimal Immersions With Symmetries : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems
Published by
Princeton University Press, 1993
ISBN 10: 069110249X
ISBN 13: 9780691102498
New
Softcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
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Condition: New. Seller Inventory # 933309-n
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