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Geometrical Properties of the Pseudonull Hypersurfaces in Semi-Euclidean 4-Space

open access: yesMathematics, 2021
In this paper, we focus on some geometrical properties of the partially null slant helices in semi-Euclidean 4-space. By structuring suitable height functions, we obtain the singularity types of the pseudonull hypersurfaces, which are generated by the ...
Jianguo Sun, Xiaoyan Jiang, Fenghui Ji
doaj   +3 more sources

The Geometrical Characterizations of the Bertrand Curves of the Null Curves in Semi-Euclidean 4-Space

open access: yesMathematics, 2021
According to the Frenet equations of the null curves in semi-Euclidean 4-space, the existence conditions and the geometrical characterizations of the Bertrand curves of the null curves are given in this paper.
Jianguo Sun, Yanping Zhao
doaj   +3 more sources

Kinematic Mapping in Semi-Euclidean 4-Space

open access: yesDüzce Üniversitesi Bilim ve Teknoloji Dergisi, 2015
We study the some algebraic properties of matrix associated to Hamilton operators is defined for semi-quaternions. The kinematic mapping corresponding to these operators in semi-Euclidean 4-space is same as the kinematic mapping of Blaschke and Grünwald ...
Mehdi JAFARI
doaj   +5 more sources

Osculating curves in 4-dimensional semi-Euclidean space with index 2

open access: yesOpen Mathematics, 2017
In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves.
İlarslan Kazim   +2 more
doaj   +2 more sources

Kinematic Mapping in Semi-Euclidean 4-Space

open access: yesDüzce Üniversitesi Bilim ve Teknoloji Dergisi, 2014
We study the some algebraic properties of matrix associated to Hamilton operators is defined for semi-quaternions. The kinematic mapping corresponding to these operators in semi-Euclidean 4-space is same as the kinematic mapping of Blaschke and Grünwald ...
Mehdi JAFARI
doaj   +4 more sources

Topologies of Bihyperbolic Numbers

open access: yesMathematics, 2022
In this paper, we establish a correlation between the bihyperbolic numbers set and the semi-Euclidean space. There are three different norms on the semi-Euclidean space that allow us to define three different hypersurfaces on semi-Euclidean space. Hence,
Ana Savić   +3 more
doaj   +1 more source

On Geodesic Completeness of Nondegenerate Submanifolds in Semi-Euclidean Spaces [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Loops in dS/CFT

open access: yesJournal of High Energy Physics, 2021
We consider the semi-classical expansion of the Bunch-Davies wavefunction with future boundary condition in position space for a real scalar field, conformally coupled to a classical de Sitter background in the expanding Poincaré patch with quartic ...
Till Heckelbacher, Ivo Sachs
doaj   +1 more source

Singular Minimal Surfaces which are Minimal

open access: yesUniversal Journal of Mathematics and Applications, 2021
In the present paper, we discuss the singular minimal surfaces in Euclidean $3-$space $\mathbb{R}^{3}$ which are minimal. Such a surface is nothing but a plane, a trivial outcome.
Ayla Erdur Kara   +2 more
doaj   +1 more source

Spinorial higher-spin gauge theory from IKKT model in Euclidean and Minkowski signatures

open access: yesJournal of High Energy Physics, 2023
We explore the semi-classical relation between the fuzzy 4-hyperboloid H N 4 $$ {H}_N^4 $$ and non-compact quantized twistor space ℙ N 1 , 2 $$ {\mathbb{P}}_N^{1,2} $$ at large N.
Harold C. Steinacker, Tung Tran
doaj   +1 more source

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