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Aspects of Differential Geometry III
Synthesis Lectures on Mathematics and Statistics
By (author)
Eduardo Garcia-Rio, Esteban Calvino-Louzao, JeongHyeong Park, Peter Gilkey, Ramon Vazquez-Lorenzo
Series edited by
Steven G. Krantz
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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. New & Used
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