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portada Aspects of Differential Geometry III
Type
Physical Book
Publisher
Language
English
Pages
145
Format
Paperback
ISBN13
9783031012822
Edition No.
1

Aspects of Differential Geometry III

Peter Gilkey (Author) · Eduardo Garcia-Rio (Author) · Esteban Calviño-Louzao (Author) · Springer · Paperback

Aspects of Differential Geometry III - Calviño-Louzao, Esteban ; García-Río, Eduardo ; Gilkey, Peter

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Synopsis "Aspects of Differential Geometry III"

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.

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