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On the Divergence of the Unit Normal


     

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If a surface V2 is immersed in a Euclidean space E3 of three dimensions, then we know from Dupin's Theorem, that at any point of V2 the sum of the curvatures of any two perpendicular normal sections is a constant equal to the sum of the principal curvatures.
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  • On the Divergence of the Unit Normal

Abstract Views: 155  |  PDF Views: 0

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Abstract


If a surface V2 is immersed in a Euclidean space E3 of three dimensions, then we know from Dupin's Theorem, that at any point of V2 the sum of the curvatures of any two perpendicular normal sections is a constant equal to the sum of the principal curvatures.