Ruled surfaces obtained by curves in the lightlike cone

Ruled surfaces obtained by curves in the lightlike cone

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...

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Veröffentlicht in:General mathematics 2021-06, Vol.29 (1), p.55-61
1. Verfasser: Uçum, Ali
Format: Artikel
Sprache:eng
Schlagworte:
53C30
53C52
harmonic Gauss map
lightlike cone
Ruled surfaces
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Beschreibung
Zusammenfassung: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.
ISSN:1584-3289
1584-3289
DOI:10.2478/gm-2021-0005