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arxiv: 1304.7655 · v2 · pith:3FUVYAIEnew · submitted 2013-04-29 · 🧮 math.DG

Isometric Surfaces and the Third Laplace-Beltrami

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keywords surfacesclassicalisometriclaplace-beltramithirdbourdimensionaleuclidean
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In this paper, classical isometric helicoidal and rotational surfaces are studied, and generalized by Bour's theorem in three dimensional Euclidean space. Moreover, the third Laplace-Beltrami operators of two classical surfaces are obtained.

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