Riemannian Manifolds
An Introduction to Curvature
(Sprache: Englisch)
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four...
Leider schon ausverkauft
versandkostenfrei
Buch
69.25 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Riemannian Manifolds “
Klappentext zu „Riemannian Manifolds “
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Inhaltsverzeichnis zu „Riemannian Manifolds “
What Is Curvature?.- Review of Tensors, Manifolds, and Vector Bundles.- Definitions and Examples of Riemannian Metrics.- Connections.- Riemannian Geodesics.- Geodesics and Distance.- Curvature.- Riemannian Submanifolds.- The Gauss-Bonnet Theorem.- Jacobi Fields.- Curvature and Topology.
Bibliographische Angaben
- Autor: John M. Lee
- 1997, 1997, 226 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 038798271X
- ISBN-13: 9780387982717
- Erscheinungsdatum: 05.09.1997
Sprache:
Englisch
Rezension zu „Riemannian Manifolds “
"This book is very well writen, pleasant to read, with many good illustrations. It deals with the core of the subject, nothing more and nothing less. Simply a recommendation for anyone who wants to teach or learn about the Riemannian geometry."Nieuw Archief voor Wiskunde, September 2000
Kommentar zu "Riemannian Manifolds"
Schreiben Sie einen Kommentar zu "Riemannian Manifolds".
Kommentar verfassen