Minkowski Uzayında PH-Helis Eğriler

Gümüş M.

11th International Eurasian Conference on Mathematical Sciences and Applications, İstanbul, Türkiye, 29 Ağustos - 01 Eylül 2022, cilt.1, sa.1, ss.143, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Cilt numarası: 1
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.143
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

Abstract. In differential geometry, the theory of curves is one of the most fundamental areas.

Helices are curves that we encounter in many areas of our daily life and have a wide range of

uses and applications in many different sciences. Helices were defined as curves whose tangent

vectors make a constant angle with a fixed direction. The Pythagorean-Hodograph curves were

defined by Farouki and Sakkalis in [1]. In 1999, Moon expressed the Pythagorean-Hodograph

curves (PH-curves) according to the Minkowski metric and defined the Minkowski Pythagorean-

Hodograph curves (MPH-curves) in [2]. Izumiya and Takeuchi gave a method of obtaining

a helix curve from a planar curve in a 3-dimensional Euclidean space E3 [3]. This method

was generalized to Pythagorean-Hodograph curves by Mollao˘gulları at all [4]. In this study, we

defined Minkowski Pythagorean-Hodograph Helical curves and study the basic geometric properties

of these curves and the relationships between their curvatures in 3-dimentional Minkowski

spaceE3

1 .

Keywords: Ph-curve, Ph-Helical curve, Minkowski Space.