The Tensor Description of Euclidean Spaces

Pavel Grinfeld
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Pavel Grinfeld: Drexel University, Department of Mathematics

Chapter Chapter 5 in Introduction to Tensor Analysis and the Calculus of Moving Surfaces, 2013, pp 53-73 from Springer

Abstract: Abstract Armed with the tensor notation introduced in Chap. 4, we present a differential description of Euclidean spaces in tensor terms. The objects presented here are of great importance in the coordinate-based description of space and play a central role in the remainder of this book.

Keywords: Differential Description; Contravariant Metric; Affine Coordinates; Contravariant Basis; Christoffel Symbols (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-7867-6_5

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