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Aspects of Differential Geometry III, Paperback / softback Book

Aspects of Differential Geometry III Paperback / softback

Part of the Synthesis Lectures on Mathematics and Statistics series

Paperback / softback

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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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