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Geometric Analysis

Cetraro, Italy 2018

  • Book
  • © 2020

Overview

Authors:
  1. Ailana Fraser

    1. Department of Mathematics, University of British Columbia, Vancouver, Canada

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  2. André Neves

    1. Department of Mathematics, University of Chicago, Chicago, USA

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  3. Peter M. Topping

    1. Department of Mathematics, University of Warwick, Coventry, UK

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  4. Paul C. Yang

    1. Department of Mathematics, Princeton University, Princeton, USA

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Editors:
  1. Matthew J. Gursky

    1. Department of Mathematics, University of Notre Dame, Notre Dame, USA

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  2. Andrea Malchiodi

    1. Scuola Normale Superiore, Pisa, Italy

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  • 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

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2263)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-ix
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  2. Extremal Eigenvalue Problems and Free Boundary Minimal Surfaces in the Ball

    • Ailana Fraser
    Pages 1-40

  3. Applications of Min–Max Methods to Geometry

    • Fernando C. Marques, André Neves
    Pages 41-77

  4. Ricci Flow and Ricci Limit Spaces

    • Peter M. Topping
    Pages 79-112

  5. Pseudo-Hermitian Geometry in 3D

    • Paul C. Yang
    Pages 113-144

  6. Back Matter

    Pages 145-146
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Keywords

About this book

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. 

Authors, Editors and Affiliations

  • Department of Mathematics, University of Notre Dame, Notre Dame, USA

    Matthew J. Gursky

  • Scuola Normale Superiore, Pisa, Italy

    Andrea Malchiodi

  • Department of Mathematics, University of British Columbia, Vancouver, Canada

    Ailana Fraser

  • Department of Mathematics, University of Chicago, Chicago, USA

    André Neves

  • Department of Mathematics, University of Warwick, Coventry, UK

    Peter M. Topping

  • Department of Mathematics, Princeton University, Princeton, USA

    Paul C. Yang

Bibliographic Information

  • Book Title: Geometric Analysis

  • Book Subtitle: Cetraro, Italy 2018

  • Authors: Ailana Fraser, André Neves, Peter M. Topping, Paul C. Yang

  • Editors: Matthew J. Gursky, Andrea Malchiodi

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-53725-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Softcover ISBN: 978-3-030-53724-1Published: 21 August 2020

  • eBook ISBN: 978-3-030-53725-8Published: 20 August 2020

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IX, 146

  • Number of Illustrations: 13 b/w illustrations, 1 illustrations in colour

  • Topics: Differential Geometry, Analysis, Global Analysis and Analysis on Manifolds

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