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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.
Zakup książki
Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee
- Język
- Rok wydania
- 1997
- Oprawa
- (miękka),
- Stan książki
- Dobry
- Cena
- 142,37 zł
Metody płatności
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- Tytuł
- Graduate Texts in Mathematics - 176: Riemannian Manifolds
- Podtytuł
- An Introduction to Curvature
- Język
- angielski
- Autorzy
- John Lee
- Wydawca
- Springer
- Rok wydania
- 1997
- Oprawa
- miękka
- Liczba stron
- 244
- ISBN10
- 0387983228
- ISBN13
- 9780387983226
- Seria
- Opis
- 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.