This volume contains research and expository articles from the courses and talks given at the RSME Lluis A. Santalo Summer School, ``Geometric Analysis'', held June 28-July 2, 2010, in Granada, Spain. The goal of the Summer School was to present some of the many advances currently taking place in the interaction between partial differential equations and differential geometry, with special emphasis on the theory of minimal surfaces. This volume includes expository articles about the current state of specific problems involving curvature and partial differential equations, with interactions to neighboring fields such as probability. An introductory, mostly self-contained course on constant mean curvature surfaces in Lie groups equipped with a left invariant metric is provided. The volume will be of interest to researchers, post-docs, and advanced PhD students in the interface between partial differential equations and differential geometry.
This graduate-level text demonstrates the basic techniques for researchers interested in the field of geometric analysis.
This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry.
This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009.
Offering some of the topics of contemporary mathematical research, this fourth edition includes a systematic introduction to Kahler geometry and the presentation of additional techniques from geometric analysis.
This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as volume 202 in this series.
This volume, the second of Helgason's impressive three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to group-theoretic methods in analysis on spaces with a group action.
Presents twenty-three selected survey articles on central topics of geometric analysis and general relativity, written by prominent experts in the fields.
This volume derives from a workshop on differential geometry, calculus of vari ations, and computer graphics at the Mathematical Sciences Research Institute in Berkeley, May 23-25, 1988.
sup z2K jf.z/j Ä C kfkh2: As a result, there is a “Bergman kernel” for this space. It may be noted that a basis for h2. ... Calculating the kernel, one finds that it is the classical Poisson kernel. Given Stokes's theorem, it is no ...
This is the first of a two-volume work presenting a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential ...