Ruled surfaces obtained by curves in the lightlike cone

Uçum, Ali

doi:10.2478/gm-2021-0005

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Ruled surfaces obtained by curves in the lightlike cone

General Mathematics

Volume 29 (2021): Issue 1 (June 2021)

By: Ali Uçum

Open Access

|Mar 2022

Abstract

In this paper, we consider the ruled surfaces obtained the lightlike curve in the 2-dimensional lightlike cone according to the frame given in [7]. We obtain necessary and sufficient conditions for the ruled surfaces to be minimal and to have a harmonic Gauss map. Then we see that the ruled surface is minimal if and only if it has a harmonic Gauss map.

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