Riemannian Geometry

• Κύριος συγγραφέας: Petersen, Peter (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2006.
• Έκδοση: Second Edition.
• Σειρά: Graduate Texts in Mathematics, 171
• Θέματα: Mathematics.; Differential geometry.; Differential Geometry.

Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few works to c...

Πίνακας περιεχομένων:

• Riemannian Metrics
• Curvature
• Examples
• Hypersurfaces
• Geodesics and Distance
• Sectional Curvature Comparison I
• The Bochner Technique
• Symmetric Spaces and Holonomy
• Ricci Curvature Comparison
• Convergence
• Sectional Curvature Comparison II.