An introduction to Riemannian geometry and the tensor calculus
著者
書誌事項
An introduction to Riemannian geometry and the tensor calculus
Cambridge University Press, 1938
- : hard
- : pbk
大学図書館所蔵 件 / 全56件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Bibliography: p. [180]-187
Includes index
内容説明・目次
内容説明
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. The subject is treated with the aid of the Tensor Calculus, which is associated with the names of Ricci and Levi-Civita; and the book provides an introduction both to this calculus and to Riemannian geometry. The geometry of subspaces has been considerably simplified by use of the generalized covariant differentiation introduced by Mayer in 1930, and successfully applied by other mathematicians.
目次
- 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.
「Nielsen BookData」 より
