Aspects of Differential Geometry V Contributor(s): Calviño-Louzao, Esteban (Author), García-Río, Eduardo (Author), Gilkey, Peter B. (Author) |
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ISBN: 1636391109 ISBN-13: 9781636391106 Publisher: Morgan & Claypool OUR PRICE: $66.45 Product Type: Paperback - Other Formats Published: April 2021 * Not available - Not in print at this time * |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Differential Equations - General - Mathematics | Applied |
Physical Information: 0.34" H x 7.5" W x 9.25" (0.62 lbs) 156 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |