Aspects of Differential Geometry III
Esteban Calviño-Louzao, Eduardo García-Río, Peter B. Gilkey, JeongHyeong Park, Ramón Vázquez-Lorenzo
Main subject categories: • Differential geometry • Invariance theory • Homogeneity
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.
Kateqoriyalar:
Tom:
18/III
İl:
2017
Nəşr:
1
Nəşriyyat:
Morgan & Claypool
Dil:
english
Səhifələr:
159
ISBN 10:
3031012828
ISBN 13:
9781627058827
Seriyalar:
Synthesis Lectures on Mathematics and Statistics
Fayl:
PDF, 1.10 MB
IPFS:
,
english, 2017
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