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- Title
THREE DIMENSIONAL KINEMATIC SURFACES WITH CONSTANT SCALAR CURVATURE IN LORENTZ-MINKOWSKI 7-SPACE.
- Authors
SOLOUMA, E. M.; WAGEEDA, M. M.
- Abstract
In this paper we analyzed the problem of studying locally the scalar curvature S of the three dimensional kinematic surfaces obtained by the homothetic motion of a helix in Lorentz-Minkowski space E17. We express the scalar curvature S of the corresponding kinematic surfaces as the quotient of hyperbolic functions {coshmϕ, sinhmϕ}, and we derive the necessary and sufficient conditions for the coefficients to vanishes identically. Finally, an example is given to show three dimensional kinematic surfaces with zero scalar curvature.
- Publication
Bulletin of Mathematical Analysis & Applications, 2016, Vol 8, Issue 4, p23
- ISSN
1821-1291
- Publication type
Academic Journal