Surfaces at a constant distance from the edge of regression on a surface

Tarakci O., Hacisalihoglu H.

APPLIED MATHEMATICS AND COMPUTATION, vol.155, no.1, pp.81-93, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 155 Issue: 1
  • Publication Date: 2004
  • Doi Number: 10.1016/s0096-3003(03)00761-6
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.81-93
  • Keywords: parallel surfaces, shape operator, edge of regression, curvature
  • Ankara University Affiliated: No

Abstract

Let M be a surface in E-3. We define surface M-f at a constant distance from the edge of regression on a surface M and investigate some properties of M-f. The correspondence of some theorems and properties which hold for parallel surfaces, which are a special case of M-f, are obtained for M-f. (C) 2003 Elsevier Inc. All rights reserved.