Generalized parallel <i>p<sub>i</sub></i>-equidistant ruled surfaces

  • Nuri Kuruoğlu Bahcesehir University, Faculty of Arts and Sciences, Department of Mathematics and Computer Sciences, Istanbul
  • Melek Masal Sakarya University, Faculty of Education, Department of Elementary Education, Hendek-Sakarya
Keywords: Parallel pi-equidistant ruled surfaces, generalized ruled surfaces, curvatures

Abstract

In this paper, parallel pi-equidistant ruled surfaces in 3-dimensional Euclidean space E3, [6], were generalized to n-dimensional Euclidean space En. Then mean curvatures, Lipschitz–Killing curvatures, Gauss curvatures, scalar normal curvatures, Riemannian curvatures, Ricci curvatures, scalar curvatures of (m + 1)-dimensional parallel pi-equidistant ruled surfaces were calculated and some relations between these curvatures were found. Also, examples related to the parallel p3-equidistant ruled surfaces in the E3 are given.

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Published
2013-06-12
Section
Articles