Time-Like Constant Slope Surfaces and Space-Like Bertrand Curves in Minkowski 3-Space


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BABAARSLAN M., YAYLI Y.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, vol.84, no.4, pp.535-540, 2014 (SCI-Expanded) identifier identifier

Abstract

Defining Lorentzian Sabban frame of the unit speed time-like curves on de Sitter 2-space and introducing space-like height function on the unit speed time-like curves on the invariants of the unit speed time-like curves on and geometric properties of de Sitter evolutes of the unit speed time-like curves on are studied. A relation between space-like Bertrand curves and helices is obtained. De Sitter Darboux images of space-like Bertrand curves are equal to de Sitter evolutes. The relations between time-like constant slope surfaces lying in the space-like cone and space-like Bertrand curves in Minkowski 3-space are obtained.