Generalized Helicoidal Surfaces in Minkowski 5-space
Abstract
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.
2020 Mathematics Subject Classification:
53C42, 53C50Keywords
Minkowski 5-space, helicoidal surface, minimal surface, flat surface, normal curvature tensor
Author Details
Ali Uçum
Department of Mathematics
Faculty of Sciences and Arts
Kırıkkale University
Kırıkkale-Turkey
e-mail: aliucum05@gmail.com
Makoto Sakaki
Graduate School of Science and Technology
Hirosaki University
Hirosaki 036-8561, Japan
e-mail: sakaki@hirosaki-u.ac.jp
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