Aspects of Differential Geometry V - E-book

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Aspects Of Differential Geometry V - ENG

Esteban Calviño-Louzao; Eduardo García-Río; Peter Gilkey; JeongHyeong Park; Ramón Vázquez-Lorenzo

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Sinopsis

ISBN:	9783031024320
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Matemáticas
Año de publicación:	2022-05-31

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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