Aspects of Differential Geometry V (Synthesis Lectures on Mathematics and Statistics) - Softcover

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

Softcover

ISBN 10: 1636391109 ISBN 13: 9781636391106

Verlag: Morgan & Claypool Publishers, 2021

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Morgan & Claypool Publishers
• Erscheinungsdatum: 2021
• Sprache: Englisch
• ISBN 10: 1636391109
• ISBN 13: 9781636391106
• Einband: Tapa blanda
• Anzahl der Seiten: 156
• Kontakt zum Hersteller: Nicht verfügbar