Aspects of Differential Geometry III

von Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey, JeongHyeong Park, Ramón Vázquez-Lorenzo

145 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Synthesis Lectures on Mathematics & Statistics
• ISBN: 9783031012822
• Sprache: Englisch
• Erscheinungsdatum: 25.05.2017
• Genre: Mathematik
• Verlag: Springer International Publishing