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An Introduction to Riemannian Geometry and the Tensor Calculus

  • Kartonierter Einband
  • 204 Seiten
The purpose of this book is to bridge the gap between differential geometry of Euclidean space of three dimensions and differentia... Weiterlesen
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Beschreibung

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.

Inhalt

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.

Produktinformationen

Titel: An Introduction to Riemannian Geometry and the Tensor Calculus
Autor:
EAN: 9780521091886
ISBN: 978-0-521-09188-6
Format: Kartonierter Einband
Herausgeber: Cambridge University Press
Genre: Mathematik
Anzahl Seiten: 204
Gewicht: 268g
Größe: H217mm x B155mm x T16mm
Jahr: 2008
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