International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Weakened Mannheim curves

Murat Kemal Karacan    
Department of Mathematics, Faculty of Sciences and Arts, UÅŸak Üniversity, 1 Eylul Campus, 64200, UÅŸak, Turkey
Email: [email protected]

  •  Accepted: 01 June 2011
  •  Published: 23 September 2011

Abstract

In the discussion of Bertrand and Mannheim curves, it is always assumed (explicitly or implicitly) that the curvature is nowhere zero. In this paper, we adapt this requirement on the Mannheim curves and investigate into the properties of two types of similar curves (the Frenet-Mannheim curves and the weakened Mannheim curves) under weakened conditions.

 

Key words: Mannheim curves, Frenet-Mannheim curves, weakened-Mannheim curves.