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    Vanishing and Finiteness Results in Geometric Analysis: A Generalization of the Bochner Technique (Repost)

    Posted By: AvaxGenius
    Vanishing and Finiteness Results in Geometric Analysis: A Generalization of the Bochner Technique (Repost)

    Vanishing and Finiteness Results in Geometric Analysis: A Generalization of the Bochner Technique by Stefano Pigola , Alberto G. Setti , Marco Rigoli
    English | PDF | 2008 | 294 Pages | ISBN : 376438641X | 2.1 MB

    This book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods from spectral theory and qualitative properties of solutions of PDEs to comparison theorems in Riemannian geometry and potential theory.

    Geometric Analysis and Applications to Quantum Field Theory

    Posted By: AvaxGenius
    Geometric Analysis and Applications to Quantum Field Theory

    Geometric Analysis and Applications to Quantum Field Theory by Peter Bouwknegt, Siye Wu
    English | PDF(True) | 2002 | 213 Pages | ISBN : 0817642870 | 17.1 MB

    In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis. The various chapters in this volume, treating the interface of geometric analysis and mathematical physics, represent current research interests. No suitable succinct account of the material is available elsewhere. Key topics include: * A self-contained derivation of the partition function of Chern- Simons gauge theory in the semiclassical approximation (D.H. Adams) * Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field theory (P. Bouwknegt) * Application of the representation theory of loop groups to simple models in quantum field theory and to certain integrable systems (A.L. Carey and E. Langmann) * A study of variational methods in Hermitian geometry from the viewpoint of the critical points of action functionals together with physical backgrounds (A. Harris) * A review of monopoles in nonabelian gauge theories (M.K. Murray) * Exciting developments in quantum cohomology (Y. Ruan) * The physics origin of Seiberg-Witten equations in 4-manifold theory (S. Wu) Graduate students, mathematicians and mathematical physicists in the above-mentioned areas will benefit from the user-friendly introductory style of each chapter as well as the comprehensive bibliographies provided for each topic. Prerequisite knowledge is minimal since sufficient background material motivates each chapter.

    "Eyesight and Imaging: Advances and New Perspectives" ed. by Alireza Ziaei, Michele Lanza

    Posted By: exLib
    "Eyesight and Imaging: Advances and New Perspectives" ed. by Alireza Ziaei, Michele Lanza

    "Eyesight and Imaging: Advances and New Perspectives" ed. by Alireza Ziaei, Michele Lanza
    ITexLi | 2021 | ISBN: 1838809562 9781838809560 1838809554 9781838809553 1838809570 9781838809577 | 99 pages | PDF | 8 MB

    This book provides readers with a comprehensive overview of the latest and most advanced findings in several aspects of ophthalmic pathology, treatment, and surgical strategies, as well as in vision sciences and perception.

    Geometric Analysis of the Bergman Kernel and Metric (Repost)

    Posted By: AvaxGenius
    Geometric Analysis of the Bergman Kernel and Metric (Repost)

    Geometric Analysis of the Bergman Kernel and Metric By Steven G. Krantz
    English | PDF,EPUB | 2013 | 300 Pages | ISBN : 1461479231 | 5.72 MB

    This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, it presents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians.

    2019-20 MATRIX Annals

    Posted By: AvaxGenius
    2019-20 MATRIX Annals

    2019-20 MATRIX Annals by David R. Wood (Editor-in-Chief)
    English | PDF | 2021 | 795 Pages | ISBN : 303062496X | 22.6 MB

    MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020:

    Geometric Analysis: Cetraro, Italy 2018 (Lecture Notes in Mathematics

    Posted By: roxul
    Geometric Analysis: Cetraro, Italy 2018 (Lecture Notes in Mathematics

    Ailana Fraser, "Geometric Analysis: Cetraro, Italy 2018 (Lecture Notes in Mathematics "
    English | ISBN: 3030537242 | 2020 | 155 pages | EPUB, PDF | 8 MB + 2 MB