Results 21 to 30 of about 125,426 (247)

Slant helices and Darboux helices in Myller Configuration [PDF]

open access: yes, 2023
In this paper, we study slant helix (or $\overset{\_}{\xi}_{2}$-helix) and Darboux helix in Myller configuration $M$. We show that a curve in $M$ is a slant helix if and only if it is a Darboux helix.
Alkan, Akın, Önder, Mehmet
core   +1 more source

Some new types of associated curves in Euclidean 3-space

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we introduce the concept of D-direction curve and C- direction curve of a given curve using the alternative frame –N,C,W} in Euclidean 3-space.
Özdoğan Sibel   +3 more
doaj   +1 more source

Characterizations of slant helices in Euclidean 3-space [PDF]

open access: yes, 2010
WOS: 000278737800010In this paper we investigate the relations between a general helix and a slant helix. Moreover, we obtain some differential equations which they are characterizations for a. space curve to be a slant helix.
Ekmekci, N.   +12 more
core   +1 more source

Vn- SLANT HELICES IN MINKOWSKI n-SPACE E1n [PDF]

open access: yes, 2009
In this paper we give a definition of harmonic curvature functions in terms of V-n and define a new kind of slant helix which we call V-n-slant helix in n-dimensional Minkowski space E-1(n) by using the new harmonic curvature functions . Also we define a
Camci, Cetin   +2 more
core   +1 more source

k-TYPE SLANT HELICES FOR SYMPLECTIC CURVE IN 4-DIMENSIONAL SYMPLECTIC SPACE [PDF]

open access: yes, 2020
In this study, we have expressed the notion of $k$-type slant helix in $4$-symplectic space. Also, we have generated some differential equations for $k$-type slant helix of symplectic regular curves.
Cetin, Esra Cicek   +3 more
core   +2 more sources

A New Approach on Helices in Pseudo-Riemannian Manifolds

open access: yesAbstract and Applied Analysis, 2014
A proper curve α in the n-dimensional pseudo-Riemannian manifold (M,g) is called a Vn-slant helix if the function g(Vn,X) is a nonzero constant along α, where X is a  parallel vector field along α and Vn is nth Frenet frame.
Evren Zıplar   +2 more
doaj   +1 more source

Conjugate mates for non-null Frenet curves

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove
Alev Kelleci
doaj   +1 more source

New type surfaces in terms of B-Smarandache Curves in Sol3

open access: yesActa Scientiarum: Technology, 2015
In this work, new type ruled surfaces in terms of B- Smarandache TM1 curves of biharmonic B- slant helices in the SOL3 are studied. We characterize the B- Smarandache TM1 curves in terms of their Bishop curvatures.
Talat Körpınar
doaj   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

open access: yesFEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure   +3 more
wiley   +1 more source

Slant helices, a new approximation [PDF]

open access: yes, 2019
In this paper, we study a weaker version of classic slant helices in Euclidean space R^3 or Minkowski space R^3_1 which will be called general slant helices. We show that any classic slant helix is a general slant helix but the converse is not true.
Ortega-Yagües, José Antonio   +2 more
core   +1 more source

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