Geodesic
Generalized Helicoidal Surfaces in Minkowski 5-space
Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 287-306.

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In this paper, we study generalized helicoidal surfaces in Minkowski 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Minkowski 5-space to be minimal, flat or of zero normal curvature tensor, which are ordinary differential equations. We solve those equations and discuss the behavior of solutions.
Keywords: Minkowski 5-space, helicoidal surface, minimal surface, flat surface, normal curvature tensor, 53C42, 53C50 
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     title = {Generalized {Helicoidal} {Surfaces} in {Minkowski} 5-space},
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Uçum, Ali; Sakaki, Makoto. Generalized Helicoidal Surfaces in Minkowski 5-space. Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 287-306. http://geodesic.mathdoc.fr/item/SMJ2_2021_46_3_a5/