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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.
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Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee
- Taal
- Jaar van publicatie
- 1997
- Bindwijze
- (Paperback),
- Staat van het boek
- Goed
- Prijs
- € 36,49
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- Titel
- Graduate Texts in Mathematics - 176: Riemannian Manifolds
- Ondertitel
- An Introduction to Curvature
- Taal
- Engels
- Auteurs
- John Lee
- Uitgever
- Springer
- Jaar van publicatie
- 1997
- Formaat
- Paperback
- Aantal pagina's
- 244
- ISBN10
- 0387983228
- ISBN13
- 9780387983226
- Reeks
- Aantekening
- 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.