Helicoidal Surfaces Which Have the Timelike Axis in Minkowski Space with Density

Abstract

In this paper, we study the prescribed curvature problem in manifold with density. We consider the Minkowski 3-space with a positive density function. For a given plane curve and an axis in the plane in Minkowski 3-space, a helicoidal surface can be constructed by the plane curve under helicoidal motions around the axis. Also we give examples of helicoidal surface with weighted Gaussian curvature.

Keywords

• Minkowski space,Helicoidal,Manifold with density,Weighted curvature

References

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