Surfaces of revolution satisfying $\triangle^{III}\boldsymbol{x}=A\boldsymbol{x}$

Hassan Al-Zoubi; Stylianos Stamatakis

arxiv: 1510.08479 · v1 · pith:3E2LN5RPnew · submitted 2015-10-28 · 🧮 math.DG

Surfaces of revolution satisfying triangle^(III)boldsymbol{x}=Aboldsymbol{x}

Stylianos Stamatakis , Hassan Al-Zoubi This is my paper

classification 🧮 math.DG

keywords revolutionboldsymbolsatisfyingsurfacescatenoidconsidercoordinateeuclidean

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We consider surfaces of revolution in the three-dimensional Euclidean space which are of coordinate finite type with respect to the third fundamental form. We show that a surface of revolution satisfying the preceding relation is a catenoid or part of a sphere.

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Surfaces of revolution satisfying triangle^(III)boldsymbol{x}=Aboldsymbol{x}

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