Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msup> <mrow> <mi>E</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </math>
نویسندگان
چکیده
In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame a curve in E 3 . It concerns TN-Smarandache surface, TB-Smarandache and NB-Smarandache surface. We investigate theorems that give necessary sufficient conditions for those special be developable minimal. Furthermore, present examples with illustrations.
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 کاملErratum to: "Ruled surfaces with time like rulings" [Appl. Math. Comput. 147(2004) 241-248]
In this article, a new type of ruled surfaces in a Lorentz 3-space R31 is obtained by a strictly connected time-like oriented line moving with Frenet s frame along a space-like curve. These surfaces are classified into time-like and space-like surfaces. The wellknown theorems due to Bonnet and Chasles in the 3-dimensional Euclidean space are proved for a time-like ruled surface. 2005 Published ...
متن کاملErratum to: "Ruled surfaces with timelike rulings" [Appl. Math. Comput. 147: (2004) 241-253]
In this paper, using [E. Kasap, _ I. Aydemir, N. Kuruoğlu, Erratum to: ‘‘Ruled surfaces with timelike rulings’’ [Appl. Math. Comput. 147 (2004) 241–253], Applied Mathematics and Computation 168 (2005) 1461–1468 [2]], some mistakes which are related to the classification maximal ruled surfaces with timelike rulings in the last section of [Applied Mathematics and Computation 147 (2004) 241–253 [1...
متن کاملThe Frenet Serret Description of Gyroscopic Precession
The phenomenon of gyroscopic precession is studied within the framework of Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is highlighted with particular reference to the irrotational congruence admitted by the stationary, axisymmetric spacetime. General precession formulae are obtained for circular orbits with arbitrary constant angular s...
متن کاملA Novel Solution to the Frenet-Serret Equations
A set of equations is developed to describe a curve in space given the curvature κ and the angle of rotation θ of the osculating plane. The set of equations has a solution (in terms of κ and θ) that indirectly solves the Frenet-Serret equations, with a unique value of θ for each specified value of τ . Explicit solutions can be generated for constant θ. The equations break down when the tangent ...
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: Abstract and Applied Analysis
سال: 2021
ISSN: ['1687-0409', '1085-3375']
DOI: https://doi.org/10.1155/2021/5526536