Abstract
Most laws of physics and mechanics are expressed with the help of differential relationships between tensor values. Since these laws must be objective, i.e. they must not depend on the choice of a coordinate system, so differentiation of tensors must take this feature into account. However, the usual partial derivatives of tensor components are not components of a tensor, therefore the operation of special covariant differentiation should be introduced for tensors, and the present chapter is devoted to this.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Dimitrienko, Y.I. (2002). Tensor Analysis. In: Tensor Analysis and Nonlinear Tensor Functions. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3221-5_6
Download citation
DOI: https://doi.org/10.1007/978-94-017-3221-5_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6169-0
Online ISBN: 978-94-017-3221-5
eBook Packages: Springer Book Archive