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arXiv · 1510.08479

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

Stylianos Stamatakis·Hassan Al-Zoubi
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Abstract

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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Stylianos Stamatakis, Hassan Al-Zoubi. 2015-10-28. Surfaces of revolution satisfying $\triangle^{III}\boldsymbol{x}=A\boldsymbol{x}$. https://arxiv.org/abs/1510.08479

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