Geometric Analysis

This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces. An output of the CIME Summer School "Geometric Analysis" held in Cetraro in 2018, it offers a collection of lecture notes prepared by Ailana Fraser (UBC), André Neves (Chicago), Peter M. Topping (Warwick), and Paul C. Yang (Princeton).

These notes will be a valuable asset for researchers and advanced graduate students in geometric analysis.

The CIME Summer Schools have been held since 1954, and the lecture notes are highly regarded in the mathematical community Provides a broad overview of recent developments in geometric analysis Based on courses taught by eminent researchers, these lecture notes often become standard references

Contenu

• Extremal Eigenvalue Problems and Free Boundary Minimal Surfaces in the Ball. - Applications of MinMax Methods to Geometry. - Ricci Flow and Ricci Limit Spaces. - Pseudo-Hermitian Geometry in 3D.