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.
- ISBN13 9781627056861
- Publish Date 25 May 2017
- Publish Status Unknown
- Publish Country US
- Publisher Morgan & Claypool Publishers
- Imprint Morgan and Claypool Life Sciences
- Format Paperback
- Pages 159
- Language English