본문 바로가기
KERD
논문KCI 등재

On the Gauss Map of Tubular Surfaces in Pseudo Galilean 3-Space

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this study, we define tubular surfaces in Pseudo Galilean 3-space as type-1 or type-2. Using the X(s, t) position vectors of the surfaces and G(s, t) Gaussian trans formations, we obtain equations for the two types of tubular surfaces that satisfy the conditions ∆X(s, t) = 0, ∆X(s, t) = AX(s, t), ∆X(s, t) = λX(s, t), ∆X(s, t) = ∆G(s, t), ∆G(s, t) = 0, ∆G(s, t) = AG(s, t) and ∆G(s, t) = λG(s, t).

Abstract

In this study, we define tubular surfaces in Pseudo Galilean 3-space as type-1 or type-2. Using the X(s, t) position vectors of the surfaces and G(s, t) Gaussian trans formations, we obtain equations for the two types of tubular surfaces that satisfy the conditions ∆X(s, t) = 0, ∆X(s, t) = AX(s, t), ∆X(s, t) = λX(s, t), ∆X(s, t) = ∆G(s, t), ∆G(s, t) = 0, ∆G(s, t) = AG(s, t) and ∆G(s, t) = λG(s, t).

참고문헌 (10)

  1. M. Akyigit, "Admissible Mannheim Curves in Pseudo Galilean Space G13", Afr. Diaspora J. Math, 10(2), pp.58~65 (2010)
  2. B. Y. Chen, "A report on submanifold of finite type", Soochow J. Math, 22, pp.117~337 (1996)
  3. B. Divjak, "Curves in Pseudo Galilean Geometry", Ann. Univ. Sci. Budapest. Eötvös Sect. Math, 41, pp.117~128 (1998)
  4. M. K. Karacan, "Tubular Surfaces of Weingarten Types in Galilean and Pseudo Galilean Spaces", Bull. Math. Anal. Appl, 5(2), pp.87~100 (2013)
  5. E. Molnar, "The projective interpretation of the eight 3-dimensional homogeneous ge-ometries", Beiträge Algebra Geom, 38, pp.261~288 (1997)
  6. H. B. Oztekin, "Weakened Bertrand curves in The Galilean Space G13", J. Adv. Math. Stud, 2(2), pp.69~76 (2009)
  7. H. Oztekin, "Position vectors of admissible curves in 3-dimensional Pseudo Galilean space G13", Int. Electron. J. Geom, 8(1), pp.21~32 (2015)
  8. Yılmaz Tuncer, "Canal Surfaces in Pseudo-Galilean 3-Spaces", Kyungpook Mathematical Journal, 60(2), pp.361~373 (2020), 경북대학교 자연과학대학 수학과[DOI]
  9. D. W. Yoon, "On the Gauss Map of Tubular Surfaces in Galilean 3-space", Int. J. Math. Anal, 8(45), pp.2229~2238 (2014)
  10. D. W. Yoon, "Surfaces of revolution in the three dimensional Pseudo Galilean space", Glas. Mat. Ser. III, 48, pp.415~428 (2013)

관련 논문AI추천

이 간행물의 다른 논문 (11건)