The purpose of this book is to bridge the gap between differential geometry of Euclidean space of three dimensions and differential geometry of generalised space.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
The purpose of this book is to bridge the gap between differential geometry of Euclidean space of three dimensions and the more advanced work on differential geometry of generalised space.
1. Some Preliminaries; 2. Coordinates, Vectors , Tensors; 3. Riemannian Metric; 4. Christoffel's Three-Index Symbols. Covariant Differentiation; 5. Curvature of a Curve. Geodeics, Parallelism of Vectors; 6. Congruences and Orthogonal Ennuples; 7. Riemann Symbols. Curvature of a Riemannian Space; 8. Hypersurfaces; 9. Hypersurfaces in Euclidean Space. Spaces of Constant Curvature; 10. Subspaces of a Riemannian Space.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.