In this paper, we classify evolute offsets of a ruled surface in Minkowski 3-space L with constant Gaussian curvature and mean curvature. As a result, we investigate linear Weingarten evolute offsets of a ruled surface in L .

The increasing amount of roaming Internet users in combination with the evolution of IP-based applications has created a strong demand for wide-area, broadband access to a number of IP multimedia services. Wireless LANs can complement the next-generation cellular networks, by offering a cost-efficient, wireless broadband data solution for hot spot areas. By combining the wide coverage of next-g...

In this work, we deal with a classical differential geometry topic in Minkowski space-time. First, we prove that there are no timelike involutes of a time-like evolute. In the light of this result, we observed that involute curve transforms to a time-like curve when evolute is a space-like helix with a time-like principal normal. Then, we investigated relationships among Frenet-Serret apparatus...

Consider a 2D smooth closed curve evolving in time, the skeleton (medial axis) of the figure bounded by the curve, and the evolute of the curve. A new branch of the skeleton can appear / disappear when an evolute cusp intersects the skeleton. In this paper, we describe exact conditions of the skeleton bifurcations corresponding to such intersections. Similar results are also obtained for 3D sur...

In this study, a kind of generalized involute and evolute curve pair is considered in 4 dimensional semi Euclidean space with 2 index. The curvatures the associated Frenet Frame generalized
 involute-evolute are presented.

The envelope of straight lines normal to a plane curve C is its evolute; the envelope of lines tangent to C is the original curve, together with the entire tangent line at each inflexion of C. We introduce some standard techniques of singularity theory and use them to explain how the first of these envelopes turns into the second, as the (constant) angle between the set of lines forming the env...

Various services supports are the principal requirements of the Fourth Generation (4G) system; therefore, the need to improve integration of heterogeneous networks is significant. This paper amends EVOLUTE (a project of Information Society Technologies (IST)) to strengthen mobility management. This paper uses Multicast-based Mobility (M&M) to aid Cellular IP (CIP) in micro-mobility management. ...

in this study, a generalization of the theory of involute-evolute curves is presented for ruledsurfaces based on line geometry. using lines instead of points, two ruled surfaces which are offset in the senseof involute-evolute are defined. moreover, the found results are clarified using computer-aided examples

This study refers to EVOLUTE (a project of Information Society Technologies (IST)) that combines Session Initiation Protocol (SIP) with Mobile IP (MIP) to support macro-mobility management and provides seamless multimedia services for roaming users. Moreover, this study utilizes Multicast-based Mobility (M&M) to assist Cellular IP (CIP) in micro-mobility management. The aim of this work is to g...