Geodesic
On generalized helicoidal minimal surfaces in Minkowski 5-space
Serdica Mathematical Journal, Tome 47 (2022) no. 4, pp. 291-304.

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In this paper, we study two kinds of generalized helicoidal surfaces in Minkowski 5-space. We give the necessary and sufficient conditions for such surfaces to be a minimal surface, which are ordinary differential equations. We solve those equations explicitly and discuss the behavior of solutions.
Keywords: Minkowski 5-space, helicoidal surface, minimal surface, 53C42, 53C50 
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Sakaki, Makoto; Uçum, Ali. On generalized helicoidal minimal surfaces in Minkowski 5-space. Serdica Mathematical Journal, Tome 47 (2022) no. 4, pp. 291-304. http://geodesic.mathdoc.fr/item/SMJ2_2022_47_4_a2/