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arXiv:1301.5666 [math.DG]AbstractReferencesReviewsResources

Characterizations of the Quaternionic Mannheim Curves in E^4

O. Zeki Okuyucu

Published 2013-01-23Version 1

In [5], Matsuda and Yorozo obtained that Mannheim curves in 4-dimensional Euclidean space. In this study, we define quaternionic Mannheim curves and we give some characterizations of them in Euclidean 3-space and 4-space.

Comments: 10 pages
Journal: Math. Combin. Book Ser., Vol.2 (2013), 44-53
Categories: math.DG
Subjects: 11R52, 53A04
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