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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.
Nákup knihy
Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee
- Jazyk
- Rok vydání
- 1997
- Vazba
- (měkká),
- Stav knihy
- Dobrá
- Cena
- 879 Kč
Doručení
Platební metody
Nikdo zatím neohodnotil.
- Titul
- Graduate Texts in Mathematics - 176: Riemannian Manifolds
- Podtitul
- An Introduction to Curvature
- Jazyk
- anglicky
- Autoři
- John Lee
- Vydavatel
- Springer
- Rok vydání
- 1997
- Vazba
- měkká
- Počet stran
- 244
- ISBN10
- 0387983228
- ISBN13
- 9780387983226
- Série
- Štítky
- Věda, USA, Technologie, Geometrie, Diferenciální geometrie
- Anotace
- 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.