Aspects of Differential Geometry V

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. Additional ISBNs 1636391109, 1636391125, 9781636391106, 9781636391120Aspects of Differential Geometry V is written by Esteban Calvi�o-Louzao; Eduardo Garc�a-R�o; Peter B Gilkey; Jeong Hyeong Park; Ram�n V�zquez-Lorenzo and published by Morgan & Claypool Publishers. ISBNs for Aspects of Differential Geometry V are 9781636391113, 1636391117 and the print ISBNs are 9781636391106, 1636391109. Additional ISBNs include 1636391109, 1636391125, 9781636391106, 9781636391120.