Results 31 to 40 of about 2,400,148 (182)

Conjugate mates for non-null Frenet curves

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove
Alev Kelleci
doaj   +1 more source

L3: the geometry of pseudoquaternions

Revista de Matemática: Teoría y Aplicaciones, 2009
We introduce pseudoquaternions as an effective tool to describe the vector analysis in L3 , and we use them to characterIze null curves and null cubics in S12 .
Graciela Silvia Birman
doaj   +1 more source

A frenet theorem for regular null curves in L³ [PDF]

Regular null curves in Regular null curves in L³ always have a time component parametrization. This fact puts the Frenet equations for regular null curves in L³ in a simple form. A fundamental existence and uniqueness theorem for regular null curves in
Kiyak, James Walter
core   +4 more sources

On the Time-like Curves of Constant Breadth in Minkowski 3-Space [PDF]

, 2008
A regular curve with more than 2 breadths in Minkowski 3-space is called a Smarandache breadth curve. In this paper, one studies a special case of Smarandache breadth curves. Some characterizations of the time-like curves of constant breadth in Minkowski
Yilmaz, Suha, Turgut, Melih
core   +1 more source

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

Open 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, Kiliç Nihal, Erdem Hatice Altin   +2 more
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The quantum null energy condition in curved space [PDF]

Classical and Quantum Gravity, 2017
Abstract The quantum null energy condition (QNEC) is a conjectured bound on components ( T
Zicao Fu, Jason Koeller, Donald Marolf
openaire   +5 more sources

On null quaternionic curves

, 2022
Bu tez çalışması beş bölümden oluşmaktadır. Giriş bölümünde kuaterniyon kavramınının doğuşu ve gereksiniminden bahsedilmiştir. İkinci bölümde kuaterniyonlar kümesinin ve Minkowski uzayının bazı temel tanım ve teoremleri verilmiştir.
Katırcı, Gökmen
core   +1 more source

Analogue Non-Causal Null Curves and Chronology Protection in a dc-SQUID Array

Universe, 2022
We propose an analogue quantum simulator of a 1 + 1D spacetime containing non-causal curves, in particular null geodesics going back in time, by means of a dc-SQUID array embedded on an open superconducting transmission line.
Carlos Sabín
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'Proper acceleration' of a null geodesic in curved spacetime [PDF]

Classical and Quantum Gravity, 2003
Summary: Given a null geodesic in Minkowski spacetime, there exists a one-parameter family of observers in `hyperbolic' motion which approaches the null geodesic as the parameter \(x_0\) approaches zero. It is well known that the proper acceleration of the observers in the family approaches infinity as their world line approaches the null geodesic. The
Tian, Guihua, Zheng, Zhao, Liang, Canbin
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Normal Partner Curves of a Pseudo Null Curve on Dual Space Forms

Mathematics, 2020
In this work, a kind of normal partner curves of a pseudo null curve on dual space forms is defined and studied. The Frenet frames and curvatures of a pseudo null curve and its associate normal curve on de-Sitter space, its associate normal curve on ...
Jinhua Qian, Xueqian Tian, Young Ho Kim
doaj   +1 more source