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Aspects of Differential Geometry III

✍ Scribed by Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey


Publisher
Calviǫ-louzao, Esteban, Garca̕-ro̕, Eduardo, Gilkey, Peter, Morgan & Claypool, Park, Jeonghyeong, Vz̀quez-lorenzo, Ramn̤;Morgan & Claypool Publishers
Year
2017
Tongue
English
Leaves
144
Series
Synthesis Lectures on Mathematics and Statistics
Category
Library

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✦ Synopsis


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 Chern‒Gauss‒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

✦ Table of Contents


Content: PrefaceAcknowledgmentsInvariance TheoryHomothety Homogeneity and Local HomogeneityRicci SolitonsBibliographyAuthors' BiographiesIndex


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