Tensor geometry. The geometric viewpoint and its uses. 2nd ed. (English) Zbl 0732.53002

Dodson, C. T. J.; Poston, T.

Graduate Texts in Mathematics 130. Berlin etc.: Springer-Verlag (ISBN 3-540-52018-X; 978-3-642-10514-2/ebook). xiv, 432 p. (1991).

This is a complete retype of the first edition with corrections of known errors and the addition of a supplementary bibliography. For the first edition, published by Pitman in 1977, a rather enthusiastic review has been given by A. Moór in Zbl 0369.53012.

MSC:

53-02	Research exposition (monographs, survey articles) pertaining to differential geometry
53A45	Differential geometric aspects in vector and tensor analysis
15A69	Multilinear algebra, tensor calculus
53B05	Linear and affine connections
83-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory
53B20	Local Riemannian geometry
53B30	Local differential geometry of Lorentz metrics, indefinite metrics
53B50	Applications of local differential geometry to the sciences
83A05	Special relativity

Keywords:

affine spaces; metric vector spaces; tensors; manifolds; connections; geodesics; curvature; flows; special relativity; general relativity

Citations:

Zbl 0369.53012