A new approach to revolution surface with its focal surface in the Galilean 3-space $\mathbb{G}_{3}$

Abstract

In this paper, we handle focal surfaces of surface of revolution in Galilean 3-space $\mathbb{G}_{3}$. We define the focal surfaces of surface of revolution and we obtain some results for these types of surfaces to become flat and minimal. Also, by giving some examples to these surfaces, we present the visualizations of each type of focal surface of surface of revolution in $\mathbb{G}_{3}$.

Keywords

• line congruence
• focal surface
• surface of revolution

References

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