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Relativistic observer and Maxwell equations
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The Ehresmann connection on a fiber bundle that is not compatible with a (possible) Lie group structure is illustrated by the geometry of a general anholonomic observer in the Minkowski space. The 3D split of Maxwell's equations induces geometric terms that are the (generalized) curvature and torque of the connection. The notion of torque is introduced here as a Lie coalgebra-valued endomorphism field and measures the deviation of a connection from being principal.
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Cited by 1 Pith paper
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Electromagnetism: an intrinsic approach to Hadamard's method of descent
Descent along commuting translation vector fields decomposes Maxwell's equations into two (2+1)-dimensional sectors and four (1+1)-dimensional sectors, each expressed as pullbacks of lower-dimensional forms.
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