ON PARALLEL SURFACES IN MINKOWSKI 3-SPACE

Abstract

In this paper, we study on some properties of parallel surfaces in Minkowski 3-space. The results given in this paper were given in Euclidean space by [7, 8]. By using these two former studies, we show these properties in Minkowski 3-space. Also we give the relation among the fundamental forms of parallel surfaces in Minkowski 3-space. Finally we show that how a curve which is geodesic on M become again a geodesic on parallel surface Mr by the normal map in Minkowski 3-space.

Keywords

• parallel surfaces,fundamental forms,geodesic curve

References

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