Rotational surfaces with Cheng-Yau operator in Galilean 3-spaces

Year 2021, Volume: 50 Issue: 2, 365 - 376, 11.04.2021

Alev Kelleci Akbay

https://doi.org/10.15672/hujms.612730

Cited By: 1

Abstract

In this paper, we study three types of rotational surfaces in Galilean 3-spaces. We classify rotational surfaces satisfying $$L_1G=F(G+C)$$ for some constant vector $C\in \mathbb{G}^3$ and smooth function $F$, where $L_1$ denotes the Cheng-Yau operator.

Keywords

Cheng-Yau operator, Rotational surfaces, Galilean spaces, $L_1$-pointwise 1-type

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