The conference on Analytic Aspects of Problems in Riemannian Geometry was held at the Centre de la Mer de l'Aber Wrac'h in Brittany France, on May 9-13 2005. Situated in the heart of the Pays des Abers, the centre provided a superb setting for a scientific meeting on topics at the forefront of current research in this field of mathematics.

This book is a collection of articles based on the contributions of some of the speakers at the conference. The editors preferred to publish a work based on a coherent theme, and so have limited the number of papers. Some of the papers provide an introduction, while others present new results.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in Riemannian geometry.

Table of Contents

• F. Robert -- Extremals for Hardy-Sobolev type inequalities: The influence of the curvature
• C. Arezzo and F. Pacard -- On the Kähler classes of constant scalar curvature metrics on blow ups
• M. J. Gursky -- Fully nonlinear equations, ellipticity, and curvature pinching
• M. Jumonji and H. Urakawa -- Visualization of the eigenvalue problems of the Laplacian for embedded surfaces and its applications
• T. Rivière -- The role of integrability by compensation in conformal geometric analysis
• N. Hungerbühler and B. Roost -- Mean curvature flow solitons
• R. Mazzeo and M. Saez -- Self-similar expanding solutions for the planar network flow