Aspects of Differential Geometry II - E-book

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Aspects Of Differential Geometry Iii - ENG

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

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Sinopsis

ISBN:	9783031024108
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Matemáticas
Año de publicación:	2022-05-31

Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chernâ€’Gaussâ€’Bonnet formula is treated from this point of view. Homothety homogeneity, local homogeneity, stability theorems, and Walker geometry are discussed. Ricci solitons are presented in the contexts of Riemannian, Lorentzian, and affine geometry.

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