Riemannian Manifolds

An Introduction to Curvature

von John M. Lee

226 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Graduate Texts in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Geometrie Differentielle und Riemannsche Geometrie
• ISBN: 9780387983226
• Sprache: Englisch
• Erscheinungsdatum: 05.09.1997
• Größe: 23.5 x 15.5 cm
• Verlag: Springer US