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    3. Geometric Analysis

    Geometric Analysis

    Posted By: arundhati
    Date: 6 Jul 2021 14:44:21
    Geometric Analysis

    Hubert L. Bray, "Geometric Analysis "
    English | ISBN: 1470423138 | 2016 | 456 pages | PDF | 23 MB

    This volume includes expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the field and experienced researchers alike, to a range of the most important areas of geometric analysis. These include: the general issue of geometric evolution, with more detailed lectures on Ricci flow and Kahler-Ricci flow, new progress on the analytic aspects of the Willmore equation as well as an introduction to the recent proof of the Willmore conjecture and new directions in min-max theory for geometric variational problems, the current state of the art regarding minimal surfaces in $R^3$, the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace-Beltrami operators.
    UPWARDS