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