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1. |
Record Nr. |
UNINA9910454064403321 |
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Autore |
Lin Fanghua |
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Titolo |
The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang |
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Pubbl/distr/stampa |
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Hackensack, NJ, : World Scientific, c2008 |
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ISBN |
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1-281-93808-4 |
9786611938086 |
981-277-953-1 |
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Descrizione fisica |
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1 online resource (280 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Harmonic maps |
Heat equation |
Riemannian manifolds |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 251-264) and index. |
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Nota di contenuto |
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Contents; 3.2 Weakly harmonic maps in dimension two; 3.3 Stationary harmonic maps in higher dimensions; Preface; Organization of the book; Acknowledgements; 1 Introduction to harmonic maps; 1.1 Dirichlet principle of harmonic maps; 1.2 Intrinsic view of harmonic maps; 1.3 Extrinsic view of harmonic maps; 1.4 A few facts about harmonic maps; 1.5 Bochner identity for harmonic maps; 1.6 Second variational formula of harmonic maps; 2 Regularity of minimizing harmonic maps; 2.1 Minimizing harmonic maps in dimension two; 2.2 Minimizing harmonic maps in higher dimensions |
2.3 Federer's dimension reduction principle2.4 Boundary regularity for minimizing harmonic maps; 2.5 Uniqueness of minimizing tangent maps; 2.6 Integrability of Jacobi fields and its applications; 3 Regularity of stationary harmonic maps; 3.1 Weakly harmonic maps into regular balls; 3.4 Stable-stationary harmonic maps into spheres; 4 Blow up analysis of stationary harmonic maps; 4.1 Preliminary analysis; 4.2 Rectifiability of defect measures; 4.3 Strong convergence and interior gradient estimates; 4.4 Boundary gradient estimates; 5 Heat ows to Riemannian manifolds of NPC; 5.1 Motivation |
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5.2 Existence of short time smooth solutions5.3 Existence of global smooth solutions under RN < 0; 5.4 An extension of Eells-Sampson's theorem; 6 Bubbling analysis in dimension two; 6.1 Minimal immersion of spheres; 6.2 Almost smooth heat ows in dimension two; 6.3 Finite time singularity in dimension two; 6.4 Bubbling phenomena for 2-D heat ows; 6.5 Approximate harmonic maps in dimension two; 7 Partially smooth heat ows; 7.1 Monotonicity formula and a priori estimates; 7.2 Global smooth solutions and weak compactness; 7.3 Finite time singularity in dimensions at least three |
7.4 Nonuniqueness of heat flow of harmonic maps7.5 Global weak heat flows into spheres; 7.6 Global weak heat flows into general manifolds; 8 Blow up analysis on heat ows; 8.1 Obstruction to strong convergence; 8.2 Basic estimates; 8.3 Stratification of the concentration set; 8.4 Blow up analysis in dimension two; 8.5 Blow up analysis in dimensions n > 3; 9 Dynamics of defect measures in heat flows; 9.1 Generalized varifolds and rectifiability; 9.2 Generalized varifold flows and Brakke's motion; 9.3 Energy quantization of the defect measure; 9.4 Further remarks; Bibliography; Index |
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Sommario/riassunto |
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This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmon |
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2. |
Record Nr. |
UNISA996466580103316 |
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Titolo |
Algebraic K-theory Proceedings of a conference held at Oberwolfach, June 1980 . Part 1 / / edited by R. Keith Dennis |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg : , : Springer-Verlag, , [1982] |
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©1982 |
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ISBN |
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Edizione |
[1st ed. 1982.] |
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Descrizione fisica |
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1 online resource (X, 414 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; Volume 966 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Elements of small order in K2F -- Hochschild homology and the second obstruction for pseudoisotopy -- A convenient setting for equivariant higher algebraic K-theory -- Finite generation of K-groups of a curve over a finite field -- Affine lie algebras and algebraic K-theory -- Stem extensions of the infinite general linear group and large steinberg groups -- K2(o) for two totally real fields of degree three and four -- Le groupe K3(Z[?]) n’a pas de p-torsion pour p ? 2 et 3 -- Whitehead groups of dihedral 2-groups -- On injective stability for K2 -- On projective modules over polynomial rings over regular rings -- The conductor of some one-dimensional rings and the computation of their K-theory groups -- A survey of the congruence subgroup problem -- Group representations and algebraic K-theory -- On the Gln of a semi-local ring -- Asymptotic phenomena in the K-theory of group rings -- Operations on etale K-theory. Applications -- Stability in algebraic K-theory -- Mennicke symbols and their applications in the k-theory of fields -- SL3 (C[X]) does not have bounded word length -- A picture description of the boundary map in algebraic K-theory -- Mayer-vietoris sequences and mod P K-theory. |
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3. |
Record Nr. |
UNIORUON00008285 |
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Autore |
JAHSHAN, M. Ghattas |
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Titolo |
Belén, ruta de la Navidad / M. Ghattas Jahshan |
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Pubbl/distr/stampa |
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Madrid, : Iepala, 1990 212 p., : ill. ; 21 cm |
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ISBN |
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Classificazione |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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