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Aspects of Differential Geometry III
Esteban Calviño-Louzao
Eduardo García-Río
Peter Gilkey
JeongHyeong Park
Ramón Vázquez-Lorenzo
出版
Morgan & Claypool Publishers
, 2017-05-25
主題
Mathematics / Applied
Mathematics / Geometry / Differential
Mathematics / Geometry / General
ISBN
1627058826
9781627058827
URL
http://books.google.com.hk/books?id=qA0mDwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.