Geometric Analysis : Cetraro, Italy 2018

✍ Scribed by Ailana Fraser, André Neves, Peter M. Topping, Paul C. Yang, Matthew J. Gursky, Andrea Malchiodi

Publisher: Springer International Publishing;Springer
Year: 2020
Tongue: English
Leaves: 154
Series: Lecture Notes in Mathematics 2263
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-ix
Extremal Eigenvalue Problems and Free Boundary Minimal Surfaces in the Ball (Ailana Fraser)....Pages 1-40
Applications of Min–Max Methods to Geometry (Fernando C. Marques, André Neves)....Pages 41-77
Ricci Flow and Ricci Limit Spaces (Peter M. Topping)....Pages 79-112
Pseudo-Hermitian Geometry in 3D (Paul C. Yang)....Pages 113-144
Back Matter ....Pages 145-146

✦ Subjects

Mathematics; Differential Geometry; Analysis; Global Analysis and Analysis on Manifolds

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