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Gaussian Curvature in Propagation Problems in Physics and Engineering
Journal article   Open access   Peer reviewed

Gaussian Curvature in Propagation Problems in Physics and Engineering

Ezzat G. Bakhoum
Mathematical problems in engineering, Vol.2012, 371890
01/01/2012
Web of Science ID: WOS:000299531200001

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Abstract

The computation of the Gaussian curvature of a surface is a requirement in many propagation problems in physics and engineering. A formula is developed for the calculation of the Gaussian curvature by knowledge of two close geodesics on the surface, or alternatively from the projection (i.e., image) of such geodesics. The formula will be very useful for problems in general relativity, civil engineering, and robotic navigation.
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