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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)


Published: 26th March 2004
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This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. The articles provide a balance between introductory surveys and the most recent research, with a unique perspective on singular phenomena. Notions such as scans and the study of the evolution by curvature of networks of curves are completely new and lead the reader to the frontiers of the domain.The intended readership are postgraduate students and researchers in the fields of elliptic and parabolic partial differential equations that arise from variational problems, as well as researchers in related fields such as particle physics and optimization.

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 1.27
Weight (kg): 0.43