Abstract
First, covariance is explained. Then, the relation between covariant derivative and tensor analysis is described. The role of covariant derivative in local gauge invariance is given. The applications of gauge covariant derivative for sound propagation in continuous fluids and for sound propagation in solids are provided.
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Reference
Kambe, T.: Gauge principle and variational formulation for ideal fluids with reference to translational symmetry. Fluid Dyn. Res. 39, 98–120 (2007)
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Gan, W.S. (2019). Covariant Derivative in Gauge Theory. In: Gauge Invariance Approach to Acoustic Fields. Springer, Singapore. https://doi.org/10.1007/978-981-13-8751-7_5
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DOI: https://doi.org/10.1007/978-981-13-8751-7_5
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Publisher Name: Springer, Singapore
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Online ISBN: 978-981-13-8751-7
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