Existence and Uniqueness of Polyhedra with Given Values of the Conditional Curvature

A Sharipov, M Keunimjaev - International electronic journal of …, 2023 - dergipark.org.tr
The theory of polyhedra and the geometric methods associated with it are interesting not
only in their own right but also have a wide outlet in the general theory of surfaces. Certainly …

On certain surfaces in the isotropic 4-space

E Muhittin Aydin, I Mihai - Mathematical Communications, 2017 - hrcak.srce.hr
On certain surfaces in the isotropic 4-space 1. Preliminaries Page 1 MATHEMATICAL
COMMUNICATIONS 41 Math. Commun. 22(2017), 41–51 On certain surfaces in the isotropic …

One-Parameter Homothetic Motions and Euler-Savary Formula in Generalized Complex Number Plane

N Gürses, M Akbiyik, S Yüce - Advances in Applied Clifford Algebras, 2016 - Springer
In this paper, we introduce one-parameter homothetic motions in the generalized complex
number plane (p p-complex plane) C _ J=\left {x+ Jy:\,\,\, x, y ∈ R,\quad J^ 2= p,\quad p ∈ …

One-Parameter Planar Motions in Generalized Complex Number Plane

N Gürses, S Yüce - Advances in Applied Clifford Algebras, 2015 - Springer
In this study, we firstly give the basic notations of the generalized complex number plane (p
p-complex plane) C _ p C p. Then, we introduce the one-parameter planar motions in p p …

[HTML][HTML] Generalized Galilean Rotations

HB Çolakoğlu, İ Öztürk, O Çelik, M Özdemir - Symmetry, 2024 - mdpi.com
In this article, we give rotational motions on any straight line or any parabola in a scalar
product space. To achieve this goal, we first define the generalized Galilean scalar product …

Spherical product surfaces in the Galilean space

ME Aydın, AO Ogrenmıs - Konuralp Journal of Mathematics, 2016 - dergipark.org.tr
Konuralp Journal of Mathematics SPHERICAL PRODUCT SURFACES IN THE GALILEAN
SPACE 1. Introduction The tight embeddings of product Page 1 Konuralp Journal of …

One-Parameter Planar Motion in Affine Cayley-Klein Planes

NB Gurses, S Yuce - European Journal of Pure and Applied …, 2014 - ejpam.com
In 1956, HR Muller introduced the one-parameter planar motions and obtained the relation
between absolute, relative, sliding velocities and accelerations in the Euclidean plane E …

[PDF][PDF] The Moving Coordinate System and Euler-Savary's Formula for the One Parameter Motions On Galilean (Isotropic) Plane.

M Akbiyik, S Yüce - International Journal of Mathematical …, 2015 - researchgate.net
In this article, one Galilean (or called Isotropic) plane moving relative to two other Galilean
planes (or Isotropic Planes), one moving and the other fixed, was taken into consideration …

Introduction to Cartan numbers and some geometric applications

İ Öztürk - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
This article aims to define the rotational motion around a lightlike axis in pseudo‐null or null
frames more easily and to put forward a suitable number system to express rotation …

A New Construction of Holditch Theorem for Homothetic Motions in Cp

T Erişir - Advances in Mathematical Physics, 2021 - Wiley Online Library
In this study, the planar kinematics has been studied in a generalized complex plane which
is a geometric representation of the generalized complex number system. Firstly, the planar …