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

2016/09/23 by Muhittin Evren Aydın, Aydin, Muhittin Evren
Computer Science · Mathematics · #53A35 #53B25 #53B30 #53C42 #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1609.07270

openalex publication_date 2016/09/23 · openalex created_date 2016/10/07 · openalex updated_date 2026/07/28

Abstract

A semi-isotropic space is a real affine 3-space endowed with the non-degenerate metric dx²-dy². 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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