Aspects of Differential Geometry III
Calviño-Louzao, Esteban
Aspects of Differential Geometry III by Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey, JeongHyeong Park, Ramón Vázquez-Lorenzo - 1st edition 2017 - 1 recurso en línea (XIII, 145 páginas) - Synthesis Lectures on Mathematics & Statistics 1938-1751 .
Preface -- Acknowledgments -- Invariance Theory -- Homothety Homogeneity and Local Homogeneity -- Ricci Solitons -- Bibliography -- Authors' Biographies -- Index .
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.
9783031024108
10.1007/978-3-031-02410-8 doi
Geometría diferencial
QA641 / 2017 EB
Aspects of Differential Geometry III by Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey, JeongHyeong Park, Ramón Vázquez-Lorenzo - 1st edition 2017 - 1 recurso en línea (XIII, 145 páginas) - Synthesis Lectures on Mathematics & Statistics 1938-1751 .
Preface -- Acknowledgments -- Invariance Theory -- Homothety Homogeneity and Local Homogeneity -- Ricci Solitons -- Bibliography -- Authors' Biographies -- Index .
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.
9783031024108
10.1007/978-3-031-02410-8 doi
Geometría diferencial
QA641 / 2017 EB