Harmonic Maps and Minimal Immersions With Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems (Annals of Mathematics Studies, No. 130)
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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.
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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)
Add this copy of Annals of Mathematics Studies: Harmonic Maps and to cart. $39.52, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1993 by Princeton University Press.
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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.
Harmonic Maps and Minimal Immersions With Symmetries: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems / James Eells and Andrea Ratto
by Eells, James (1926-2007). Ratto, Andrea (1961-)
1993, Princeton, N.J. : Princeton University Press
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Edition:
1993, Princeton, N.J. : Princeton University Press
Publisher:
Princeton, N.J. : Princeton University Press
Published:
1993
Language:
English
Alibris ID:
18812899673
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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. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered.
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Fine. Trade paperback (US). Glued binding. 240 p. Contains: Illustrations, black & white. Annals of Mathematics Studies, 130. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
