Tensors in Riemannian Spaces and Affinely Connected Spaces

Yu. I. Dimitrienko
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Yu. I. Dimitrienko: Bauman Moscow State Technical University

Chapter Chapter 8 in Tensor Analysis and Nonlinear Tensor Functions, 2002, pp 437-474 from Springer

Abstract: Abstract In mechanics and especially in relativistic physics, tensors are widely used in n-dimensional Riemannian spaces, which are more general than Euclidean ones. Let us give a definition of these spaces and then set up tensors in the spaces. Start with the basic notion of Riemannian spaces, namely the concept of an elementary manifold.

Keywords: Tangent Space; Covariant Derivative; Tangent Vector; Curvature Tensor; Riemannian Space (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-94-017-3221-5_8

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