Aspects of Differential Geometry III (Synthesis Lectures on Mathematics and Statistics)

Calviño-Louzao, Esteban, García-Río, Eduardo, Gilkey, Peter

ISBN 10: 1627056866 / ISBN 13: 9781627056861

Editore: Morgan & Claypool Publishers, 2017

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Codice articolo D8S0-3-M-1627056866-6

Dati bibliografici

• Titolo: Aspects of Differential Geometry III (Synthesis Lectures on Mathematics and Statistics)
• Editore: Morgan & Claypool Publishers
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1627056866
• ISBN 13: 9781627056861
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: book

Descrizione articolo

Riassunto

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.