Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Characterizations of Spacelike Slant Helices In Minkowski 3-Space
View through CrossRef
Abstract
In this paper, we investigate tangent indicatrix, principal normal indicatrix and binormal indicatrix of a spacelike curve with spacelike, timelike and null principal normal vector in Minkowski 3-space E3 1 and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize for a spacelike curve to be a slant helix by using the Frenet apparatus of spherical indicatrix of the curve. Also related examples and their illustrations are given. Mathematics Subject Classification 2010: 53A04, 53C50.
Editura Universitatii Alexandru Ioan Cuza din Iasi
Title: Characterizations of Spacelike Slant Helices In Minkowski 3-Space
Description:
Abstract
In this paper, we investigate tangent indicatrix, principal normal indicatrix and binormal indicatrix of a spacelike curve with spacelike, timelike and null principal normal vector in Minkowski 3-space E3 1 and we construct their Frenet equations and curvature functions.
Moreover, we obtain some differential equations which characterize for a spacelike curve to be a slant helix by using the Frenet apparatus of spherical indicatrix of the curve.
Also related examples and their illustrations are given.
Mathematics Subject Classification 2010: 53A04, 53C50.
Related Results
Pointwise semi-slant Riemannian maps into almost Hermitian manifolds and Casorati inequalities
Pointwise semi-slant Riemannian maps into almost Hermitian manifolds and Casorati inequalities
UDC 514
As a natural generalization of slant submanifolds [B.-Y. Chen, Bull. Austral. Math. Soc., 41, No. 1, 135 (1990)], slant submersions [B. Şahin, Bull. Math. Soc. Sci. Math....
Singularity Properties of Spacelike Circular Surfaces
Singularity Properties of Spacelike Circular Surfaces
The aim of the paper is on spacelike circular surfaces and singularities in Minkowski 3-space E13. A spacelike circular surface with a stationary radius can be swept out by movable...
Spacelike Circular Surfaces in Minkowski 3-Space
Spacelike Circular Surfaces in Minkowski 3-Space
The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A spacelike circular surface is a one-parameter family of Lorentzian circles with a fixed radi...
ON MINKOWSKI MEASURABILITY
ON MINKOWSKI MEASURABILITY
Two "pathological" properties of Minkowski content are that countable sets can have positive content (unlike Hausdorff measures) and the property of a set being Minkowski measurabl...
Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms
Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms
In this paper, we investigate Chen’s δ-invariant for partially slant (PS) submanifolds of complex space forms. A PS-submanifold admits an orthogonal decomposition of the tangent bu...
Slant spacelike ruled surfaces and their Bertrand offsets
Slant spacelike ruled surfaces and their Bertrand offsets
In this work, we investigate the synthesis problem of slant spacelike ruled surfaces and associated Bertrand offsets (BO) in E13 (Minkowsk 3-space). We provide the parametric equat...
Amphipathic α‐helices in proteins: Results from analysis of protein structures
Amphipathic α‐helices in proteins: Results from analysis of protein structures
AbstractAmphipathic α‐helices play a crucial role in mediating the interaction of peptides and proteins with membranes. We have analyzed protein structures for the occurrence of 18...
Seditious Spaces
Seditious Spaces
The title ‘Seditious Spaces’ is derived from one aspect of Britain’s colonial legacy in Malaysia (formerly Malaya): the Sedition Act 1948. While colonial rule may seem like it was ...