Aspects of Differential Geometry III
Download or Read eBook Aspects of Differential Geometry III PDF written by Esteban Calviño-Louzao and published by Springer Nature. This book was released on 2022-05-31 with total page 145 pages. Available in PDF, EPUB and Kindle.
Author | : Esteban Calviño-Louzao |
Publisher | : Springer Nature |
Total Pages | : 145 |
Release | : 2022-05-31 |
ISBN-10 | : 9783031024108 |
ISBN-13 | : 3031024109 |
Rating | : 4/5 (08 Downloads) |
Book Synopsis Aspects of Differential Geometry III by : Esteban Calviño-Louzao
Book excerpt: 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.