harmonic maps minimal immersions von ratto andrea (21 Ergebnisse)

Paperback. Zustand: 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.

paperback. Zustand: 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!

Hardcover. Zustand: Near Fine. Hardcover in Near-Fine condition, 8vo. Orange cloth with titles in black, figures, equations, graphs, references, index. Almost like new, small ink mark on front board. Bookseller accession no.: XB004. Annals of Mathematics Studies, Number 130.

Zustand: Used - Very Good. 1993. Paperback. Pap. Clean copy with minimal shelf-wear. Very Good.

Hardcover. Zustand: Very Good. no dust jacket as issued, volume 130 No dust jacket. Very Good hardcover with light shelfwear - NICE! Standard-sized.

paperback. Zustand: Very Good.

Hardcover. Zustand: Very Good. Light wear and soiling to covers, otherwise text clean and solid; no dust jacket; AM-130; 9.75 X 6.50 X 0.75 inches; 244 pages.

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.

Paperback. Zustand: 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.

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.

Zustand: New.

1st edition stiff wrappers Fine large octavo 228pp., diags., bibliog., index, Annals of Mathematics Studies. Number 130.

paperback. Zustand: New. In shrink wrap. Looks like an interesting title!

Zustand: New.

Paperback. Zustand: New. 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.

Zustand: As New. Unread book in perfect condition.

Zustand: New.

Zustand: As New. Unread book in perfect condition.

Paperback. Zustand: New. 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.

Paperback. Zustand: Brand New. 244 pages. 9.25x6.25x0.75 inches. In Stock.

Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a study of harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. This book covers the material which displays an interplay involving geometry, analysis and topology. It includes a basic presentation of 1-cohomog.