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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 the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Achat du livre
Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee
- Langue
- Année de publication
- 1997
- Reliure
- (souple),
- État du livre
- Bon
- Prix
- 36,49 €
Modes de paiement
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- Titre
- Graduate Texts in Mathematics - 176: Riemannian Manifolds
- Sous-titre
- An Introduction to Curvature
- Langue
- Anglais
- Auteurs
- John Lee
- Éditeur
- Springer
- Publié
- 1997
- Format
- souple
- Pages
- 244
- ISBN10
- 0387983228
- ISBN13
- 9780387983226
- Séries
- Mots clés
- Science, États-Unis, Technologie, Géométrie, Géométrie Différentielle
- Description
- 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 the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.