Generalized Helicoidal Surfaces in Euclidean 5-space
2021 ◽
Vol 29
(3)
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pp. 269-283
Keyword(s):
Abstract In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ordinary differential equations. We solve those equations and discuss the completeness of the surfaces.
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2000 ◽
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pp. 422-448
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1978 ◽
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pp. 507-512
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1991 ◽
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1990 ◽
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