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Aspects of Differential Geometry V
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eBook - PDF
Aspects of Differential Geometry V
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About This Book
Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without proof in Book II. In Chapter 18, we treat the de Rham complex and the Dolbeault complex, and discuss spinors. In Chapter 19, we discuss complex geometry and establish the Kodaira Embedding Theorem.
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Yes, you can access Aspects of Differential Geometry V by Esteban Calviño-Louzao,Eduardo García-Río,Peter Gilkey,JeongHyeong Park,Ramón Vázquez-Lorenzo in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover
- Copyright Page
- Title Page
- Dedication
- Contents
- Preface
- Acknowledgments
- Functional Analysis
- Elliptic Operator Theory
- Potential Theory
- Complex Geometry
- Bibliography
- Authors' Biographies
- Index