3-boyutlu Minkowski uzayında paralel eğriler

Year 2022, Volume: 12 Issue: 2, 480 - 486, 15.04.2022

Nural Yüksel Burçin Saltık Esra Damar

https://doi.org/10.17714/gumusfenbil.855265

Cited By: 1

Abstract

Düzlemdeki her eğrisi için belli bir mesafesinde bulunan eğrisi mevcuttur (bazı dejenere durumlar hariç). eğrisi, merkezleri eğrisi boyunca hareket eden yarıçaplı dairelerin zarfı olarak alternatif şekilde üretilebilir. Sonuç olarak bu yapı, üç boyutlu uzay üzerine taşınırsa iki paralel eğri elde edilir. Bu çalışmada 3-boyutlu Minkowski uzayında time-like paralel eğriler tanımlanarak bunlarla ilgili bazı önemli teoremler ifade ve ispat edildi.

Keywords

3-boyutlu Minkowski uzayı, Paralel eğriler, Time-like eğriler

Parallel curves in Minkowski 3-space

Abstract

For a curve on the plane, there exists the curve at a fixed distance (except for some degenerate cases). The curve can be alternatively produced as an envelope of circles with the radius moving along the curve . As a result, when this structure is translated to three-dimensional space two parallel curves are obtained. In this study defining some time-like parallel curves on 3-dimensional Minkowski space, some important theorems about these are stated and proved.

Keywords

Minkowski 3-space, Parallel curves, Time-like curves

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