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Variational Problems in Riemannian Geometry : Bubbles, Scans and Geometric Flows - Paul Baird

Variational Problems in Riemannian Geometry

Bubbles, Scans and Geometric Flows

By: Paul Baird (Editor), Ahmad El-Soufi (Editor), Ali Fardoun (Editor), Rachid Regbaoul (Editor)

Hardcover Published: 26th March 2004
ISBN: 9783764324322
Number Of Pages: 150

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This volume has grown from a conference entitled Harmonic Maps, Minimal Sur­ faces and Geometric Flows which was held at the Universite de Bretagne Occi­ dentale from July 7th-12th, 2002, in the town of Brest in Brittany, France. We welcomed many distinguished mathematicians from around the world and a dy­ namic meeting took place, with many fruitful exchanges of ideas. In order to produce a work that would have lasting value to the mathematical community, the organisers decided to invite a small number of participants to write in-depth articles around a common theme. These articles provide a balance between introductory surveys and ones that present the newest results that lie at the frontiers of research. We thank these mathematicians, all experts in their field, for their contributions. Such meetings depend on the support of national organisations and the local community and we would like to thank the following: the Ministere de l'Education Nationale, Ministere des Affaires Etrangeres, Centre National de Recherche Sci en­ tifique (CNRS), Conseil Regional de Bretagne, Conseil General du Finistere, Com­ munaute Urbaine de Brest, Universite de Bretagne Occidentale (UBO), Faculte des Sciences de l'UBO, Laboratoire de Mathematiques de l'UBO and the Departement de Mathematiques de l'UBO. Their support was generous and ensured the success of the meeting. We would also like to thank the members of the scientific committee for their advice and for their participation in the conception and composition of this volume: Pierre Berard, Jean-Pierre Bourguignon, Frederic Helein, Seiki Nishikawa and Franz Pedit.

Introduction : best maps and best metrics
Bubbling phenomena
Bubbles over bubbles : a C[superscript [actual symbol not reproducible]]-theory for the blow-up of second order elliptic equations of critical sobolev growthp. 3
Applications of scans and fractional power integrandsp. 19
Bubbling of almost-harmonic maps between 2-spheres at points of zero energy densityp. 33
Evolution of maps and metrics
Heat flow into spheres for a class of energiesp. 45
Singularity models for the Ricci flow : an introductory surveyp. 67
A family of expanding Ricci solutionsp. 81
Evolution by curvature of networks of curves in the planep. 95
Harmonic mappings in special geometrics
Harmonic maps in complex finsler geometryp. 113
Regularity of harmonic maps from a flat complexp. 133
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764324322
ISBN-10: 3764324325
Series: Progress in Nonlinear Differential Equations and Their Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 150
Published: 26th March 2004
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 23.5 x 15.5  x 1.12
Weight (kg): 0.43