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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.
Compra de libros
Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee
- Idioma
- Publicado en
- 1997
- Encuadernación
- (Tapa blanda),
- Estado del libro
- Bueno
- Precio
- 36,49 €
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- Título
- Graduate Texts in Mathematics - 176: Riemannian Manifolds
- Subtítulo
- An Introduction to Curvature
- Idioma
- Inglés
- Autores
- John Lee
- Editorial
- Springer
- Publicado en
- 1997
- Formato
- Tapa blanda
- Páginas
- 244
- ISBN10
- 0387983228
- ISBN13
- 9780387983226
- Serie
- Etiquetas
- Ciencia, EE.UU., Tecnología, Geometría, Geometría diferencial
- Descripción
- 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.