Associated timelike helices in Minkowski 3-space
Mehmet \"Onder
TL;DR
This paper introduces new types of associated timelike helices in Minkowski 3-space, exploring their properties and conditions under which their position vectors are determined, expanding the understanding of helices in Lorentzian geometry.
Contribution
It presents novel associated timelike helices in Minkowski 3-space and analyzes their properties and conditions for their position vectors.
Findings
New types of associated timelike helices are defined.
Conditions for the position vectors of these helices are established.
Special cases related to non-lightlike and spacelike slant helices are examined.
Abstract
In this study, some new types of timelike general helices associated to a non-lightlike curve are introduced in Minkowski 3-space. These new helices are called associated timelike helices. Some special types of associated timelike helices are introduced and also by considering the conditions that reference curve is a non-lightlike helix or a spacelike slant helix, the position vectors of these new timelike helices are determinate.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Advanced Neuroimaging Techniques and Applications