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Geometric properties of rotation minimizing vector fields along curves in Riemannian manifolds

Abstract: Abstract: Rotation minimizing (RM) vector _elds and frames were introduced by Bishop as an alternative to the Frenet frame. They are used in CAGD because they can be defined even when the curvature vanishes. Nevertheless, many other geometric properties have not been studied. In the present paper, RM vector fields along a curve immersed into a Riemannian manifold are studied when the ambient manifold is the Euclidean 3-space, the hyperbolic 3-space, and a Kähler manifold.

 Fuente: Turkish Journal of Mathematics, (2018) 42: 121 -130

 Editorial: TUBITAK

 Fecha de publicación: 22/01/2018

 Nº de páginas: 10

 Tipo de publicación: Artículo de Revista

 DOI: 10.3906/mat-1609-86

 ISSN: 1300-0098,1303-6149