Aspects of Differential Geometry III (Synthesis Lectures on Mathematics and Statistics)

Calviño-Louzao, Esteban, García-Río, Eduardo, Gilkey, Peter

ISBN 10: 1627056866 / ISBN 13: 9781627056861

Published by Morgan & Claypool Publishers, 2017

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Bibliographic Details

• Title: Aspects of Differential Geometry III (Synthesis Lectures on Mathematics and Statistics)
• Publisher: Morgan & Claypool Publishers
• Publication Date: 2017
• Language: English
• ISBN 10: 1627056866
• ISBN 13: 9781627056861
• Binding: Paperback
• Condition: New
• Book Type: book

About this title

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.

About the Author

Esteban Calviño-Louzao is a member of the research group in Riemannian Geometry at the Department of Geometry and Topology of the University of Santiago de Compostela (Spain). He received his Ph.D. in 2011 under the direction of E. García-Río and R. Vázquez-Lorenzo. His research specialty is Riemannian and pseudo-Riemannian geometry. He has published more than 20 research articles and books.