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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.
Acquisto del libro
Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee
- Lingua
- Pubblicato
- 1997
- Rilegatura
- (In brossura),
- Condizioni del libro
- In buone condizioni
- Prezzo
- 36,49 €
Metodi di pagamento
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- Titolo
- Graduate Texts in Mathematics - 176: Riemannian Manifolds
- Sottotitolo
- An Introduction to Curvature
- Lingua
- Inglese
- Autori
- John Lee
- Editore
- Springer
- Pubblicato
- 1997
- Formato
- In brossura
- Pagine
- 244
- ISBN10
- 0387983228
- ISBN13
- 9780387983226
- Serie
- Descrizione
- 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.