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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.
Buchkauf
Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee
- Sprache
- Erscheinungsdatum
- 1997
- Einband
- (Paperback),
- Buchzustand
- Gebraucht - Gut
- Preis
- 36,49 €inkl. MwSt.
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- Titel
- Graduate Texts in Mathematics - 176: Riemannian Manifolds
- Untertitel
- An Introduction to Curvature
- Sprache
- Englisch
- Autor*innen
- John Lee
- Verlag
- Springer
- Erscheinungsdatum
- 1997
- Einband
- Paperback
- Seitenzahl
- 244
- ISBN10
- 0387983228
- ISBN13
- 9780387983226
- Reihe
- Schlagwörter
- Wissenschaft, USA, Technologie, Geometrie, Differentialgeometrie
- Beschreibung
- 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.