Certain classifications on surfaces of revolution in a semi-isotropic space

preprint2016arXivOpen access

Abstract

A semi-isotropic space is a real affine 3-space endowed with the non-degenerate metric dx^{2}-dy^{2}. The main purpose of this paper is to describe the surfaces of revolution in the semi-isotropic space that satisfy some equations in terms of the position vector and the Laplace operators with respect to the first and the second fundamental forms.

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