Results 1 to 10 of about 480 (48)

Helicoidal Surfaces in Galilean Space With Density

open access: yesFrontiers in Physics, 2020
In this paper, we construct helicoidal surfaces in the three dimensional Galilean space G3. The First and the Second Fundamental Forms for such surfaces will be obtained. Also, mean and Gaussian curvature given by smooth functions will be derived.
Safaa Mosa   +3 more
doaj   +2 more sources

On Menelaus’ and Ceva’s theorems in Nil geometry

open access: yesActa Universitatis Sapientiae: Mathematica, 2023
In this paper we deal with Nil geometry, which is one of the homogeneous Thurston 3-geometries. We define the “surface of a geodesic triangle” using generalized Apollonius surfaces. Moreover, we show that the “lines” on the surface of a geodesic triangle
Szirmai Jenő
doaj   +1 more source

Mannheim curves and their partner curves in Minkowski 3-space E13

open access: yesDemonstratio Mathematica, 2022
The modified orthogonal frame is an important tool to study analytic space curves whose curvatures have discrete zero points. In this article, by using the modified orthogonal frame, Mannheim curves and their partner curves are investigated in Minkowski ...
Elsharkawy Ayman, Elshenhab Ahmed M.
doaj   +1 more source

On the dual quaternion geometry of screw motions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual quaternions is given and geometric interpretation of orthogonality condition is made.
Erişir Tülay   +3 more
doaj   +1 more source

Elastic Sturmian spirals in the Lorentz-Minkowski plane

open access: yesOpen Mathematics, 2016
In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form.
Uçum Ali   +2 more
doaj   +1 more source

Curves in the Lorentz-Minkowski plane with curvature depending on their position

open access: yesOpen Mathematics, 2020
Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propound the same question in the Lorentz-Minkowski plane, focusing on spacelike
Castro Ildefonso   +2 more
doaj   +1 more source

Transitional geometry [PDF]

open access: yes, 2014
We develop a transitional geometry, that is, a family of geometries of constant curvatures which makes a continuous connec-tion between the hyperbolic, Euclidean and spherical geometries.
A. Papadopoulos, N. A'campo
semanticscholar   +1 more source

Classification results on surfaces in the isotropic 3-space [PDF]

open access: yes, 2016
The isotropic 3-space I^3 which is one of the Cayley--Klein spaces is obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In the present paper, we give several classifications on the surfaces in I^3
Aydin, Muhittin Evren
core   +2 more sources

THE VECTOR FIELDS ACROSS THE TANGENT BUNDLE TO A SPINNING 2-SPHERE

open access: yesInternational Journal of Apllied Mathematics, 2018
Assuming a spinning 2-sphere in the Euclidean 3-space that is observed by a frame at any exterior point, we deduce the Coriolis effect, which asserts that the rotational directions of the flows on the Earth surface are opposite across the Equator. By the
G. Light
semanticscholar   +1 more source

Bertrand Systems on Spaces of Constant Sectional Curvature. The Action-Angle Analysis. Classical, Quasi-Classical and Quantum Problems

open access: yes, 2015
. Studied is the problem of degeneracy of mechanical systems the configuration space of which is the three-dimensional sphere, the elliptic space, i.e., the quotient of that sphere modulo the antipodal identification, and finally, the three-dimensional ...
J. Sławianowski, B. Gołubowska
semanticscholar   +1 more source

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