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Parámetros
- 226 páginas
- 8 horas de lectura
Más información sobre el libro
Focusing on the geometric meaning of curvature, this textbook for graduate students emphasizes essential tools for studying Riemannian geometry. It covers metrics, connections, and geodesics before introducing the Riemann curvature tensor and submanifold theory for practical interpretation. The text aims to prove four fundamental theorems linking curvature and topology, including the Gauss-Bonnet and Cartan-Hadamard theorems. Selected topics are structured for a concise ten to fifteen-week course, prioritizing depth over breadth in the subject matter.
Compra de libros
Riemannian Manifolds, John Lee
- Idioma
- Publicado en
- 1997
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- Título
- Riemannian Manifolds
- Subtítulo
- An Introduction to Curvature
- Idioma
- Inglés
- Autores
- John Lee
- Editorial
- Springer, Berlin
- Publicado en
- 1997
- Formato
- Tapa dura
- Páginas
- 226
- ISBN13
- 9780387982717
- Serie
- Etiquetas
- No ficción, Libros de texto, Ciencia, Tecnología, Libros de texto de matemáticas, Geometría
- Calificación
- 4,5 de 5
- Descripción
- Focusing on the geometric meaning of curvature, this textbook for graduate students emphasizes essential tools for studying Riemannian geometry. It covers metrics, connections, and geodesics before introducing the Riemann curvature tensor and submanifold theory for practical interpretation. The text aims to prove four fundamental theorems linking curvature and topology, including the Gauss-Bonnet and Cartan-Hadamard theorems. Selected topics are structured for a concise ten to fifteen-week course, prioritizing depth over breadth in the subject matter.