Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame
نویسندگان
چکیده
This paper aims to design a generalized cylinder with geodesic base curve according the Darboux frame in Euclidean 3-space. A is special ruled surface that constructed by continuous fixed motion of generator line called ruling along given curve. The necessary and sufficient conditions for be are studied. main results show an osculating whose helical geodesic, rulings directed unit vector.
منابع مشابه
Translation surfaces according to a new frame
In this paper we studied the translation surfaces according to a new frame called q-frame in three dimensional Euclidean space. The curvatures of the translation surface are obtained in terms of q-frame curvatures. Finally some special cases are investigated for these surfaces.
متن کاملGeodesic Iso-Curve Signature
During the last decade a set of surface descriptors have been presented describing local surface features. Recent approaches [COO15] have shown that augmenting local descriptors with topological information improves the correspondence and segmentation quality. In this paper we build upon the work of Tevs et al. [TBW∗11] and Sun and Abidi [SA01] by presenting a surface descriptor which captures ...
متن کاملHigher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations
We show that a recently developed modified Darboux transformation that uses foreign auxiliary equations, can be unified with the Darboux transformation for generalized Schrödinger equations. As a consequence of this unification, we obtain explicit Darboux transformations with foreign auxiliary equations of arbitrary order. © 2012 Elsevier Ltd. All rights reserved.
متن کاملGeneralized Algebraic Bargmann–darboux Transformations
Algebraic Bargmann and Darboux transformations for equations of a more general form than the Schrödinger ones with an additional functional dependence h(r) in the righthand side of equations are constructed. The suggested generalized transformations turn into the Bargmann and Darboux transformations for both fixed and variable values of energy and an angular momentum.
متن کاملBispectral Darboux Transformations: The Generalized Airy Case
This paper considers Darboux transformations of a bispectral operator which preserve its bispectrality. A sufficient condition for this to occur is given, and applied to the case of generalized Airy operators of arbitrary order r > 1. As a result, the bispectrality of a large family of algebras of rank r is demonstrated. An involution on these algebras is exhibited which exchanges the role of s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of new theory
سال: 2021
ISSN: ['2149-1402']
DOI: https://doi.org/10.53570/jnt.1036307