Applications of Invariant Theory to the Rotation Group

Eberhard Zeidler
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Eberhard Zeidler: Max Planck Institute for Mathematics in the Sciences

Chapter 9 in Quantum Field Theory III: Gauge Theory, 2011, pp 557-643 from Springer

Abstract: Abstract We want to use the method of orthonormal frames in order to define the gradient grad Θ of a smooth temperature field Θ, and both the divergence, div v, and the curl, curl v, of a smooth velocity vector field v on the Euclidean manifold $\mathbb{E}^{3}$ . The physical meaning of grad Θ, div v, and curl v will be discussed in Sect. 9.1.4.

Keywords: Gauge Theory; Rotation Group; Orthonormal Frame; Parallel Transport; Finsler Geometry (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-22421-8_10

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