In this study, a model of accretive growth for arbitrary surfaces in three-dimensional Minkowski space is formulated by evolving a curve. An analytical approach to surfaces is also given in terms of a few parameters which are effective in the accretive growth of surfaces. The proposed method is visualized on some test surfaces and displayed in terms of figures.
It is known that the kinematics on the Lorentzian surfaces changes according to the casual characters of the vector fields. Suspicions, the character of the generator curve affects the surface growth. Therefore, we determine the model of the growth function in the three-dimensional Minkowski spacetime with a null generating curve. Moreover, the proposed method is illustrated with various examples.
The theory of null scrolls is still a developing subject. In this paper, the aim is to generalize the null scrolls by developing a method. For this, it is constructed the null scrolls along lightlike submanifolds in R m+n v. Several geometric objects of the defined null scrolls are investigated. The proposed theory is strengthened with examples.
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