A new method for inextensible flows of timelike curves in Minkowski space-time \(\mathbb E_1^4\)
type: Item
instance of: scholarly article
title: A new method for inextensible flows of timelike curves in Minkowski space-time \(\mathbb E_1^4\)
zbMATH Open document ID: 1314.53028
DOI: 10.1155/2014/517070
author: Talat Körpinar
published in: International Journal of Partial Differential Equations
publication date: 2015-03-27T00:00:00Z
review text: Summary: We construct a new method for inextensible flows of time-like curves in Minkowski space-time \(\mathbb E_1^4\). Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for curvatures of a time-like curve in Minkowski space-time \(\mathbb E_1^4\).
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 83C10
zbMATH DE Number: 6420099
zbMATH Keywords: Frenet frame
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/517070
OpenAlex ID: W2079851316
Wikidata QID: Q59049774
cites work: The normalized curve shortening flow and homothetic solutions
cites work: Shortening space curves and flow through singularities
cites work: Evolving convex curves
cites work: Q5340722
cites work: The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces
cites work: Inextensible flows of curves and developable surfaces
cites work: The heat equation shrinking convex plane curves
cites work: The heat equation shrinks embedded plane curves to round points
cites work: A new version of inextensible flows of spacelike curves with timelike \(\mathbf B_2\) in Minkowski space-time \(\mathbb E_1^4\)
cites work: Curve shortening in a Riemannian manifold
cites work: Q5784907
cites work: Q3312869
cites work: Q4091004
description: scientific article; zbMATH DE number 6420099