Calviño-Louzao, Esteban.
Aspects of Differential Geometry III [electronic resource] / by Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey, JeongHyeong Park, Ramón Vázquez-Lorenzo. - 1st ed. 2017. - XIII, 145 p. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .
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
Mathematics.
Statistics .
Engineering mathematics.
Mathematics.
Statistics.
Engineering Mathematics.
QA1-939
510
Aspects of Differential Geometry III [electronic resource] / by Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey, JeongHyeong Park, Ramón Vázquez-Lorenzo. - 1st ed. 2017. - XIII, 145 p. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .
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
Mathematics.
Statistics .
Engineering mathematics.
Mathematics.
Statistics.
Engineering Mathematics.
QA1-939
510