Characterizations of the Quaternionic Mannheim Curves in E^4

Characterizations of the Quaternionic Mannheim Curves in E^4

Math. Combin. Book Ser., Vol.2 (2013), 44-53 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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1. Verfasser: Okuyucu, O. Zeki
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
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Zusammenfassung:Math. Combin. Book Ser., Vol.2 (2013), 44-53 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.
DOI:10.48550/arxiv.1301.5666