Characterizations of the Quaternionic Mannheim Curves in E^4

Characterizations of the Quaternionic Mannheim Curves in E^4

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.

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Veröffentlicht in:arXiv.org 2013-01
1. Verfasser: Okuyucu, O Zeki
Format: Artikel
Sprache:eng
Schlagworte:
Curves
Euclidean geometry
Euclidean space
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Zusammenfassung: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.
ISSN:2331-8422