Aspects of Differential Geometry III
✍ Scribed by Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey
- Publisher
- Calviǫ-louzao, Esteban, Garca̕-ro̕, Eduardo, Gilkey, Peter, Morgan & Claypool, Park, Jeonghyeong, Vz̀quez-lorenzo, Ramn̤;Morgan & Claypool Publishers
- Year
- 2017
- Tongue
- English
- Leaves
- 144
- Series
- Synthesis Lectures on Mathematics and Statistics
- Category
- Library
No coin nor oath required. For personal study only.
✦ 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
✦ Table of Contents
Content: PrefaceAcknowledgmentsInvariance TheoryHomothety Homogeneity and Local HomogeneityRicci SolitonsBibliographyAuthors' BiographiesIndex
📜 SIMILAR VOLUMES
<p><p>This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometr
<p><p>This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometr
<p><p>This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometr