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

Year 2018, Volume: 1 Issue: 1, 16 - 19, 14.12.2018

Önder Gökmen Yıldız , Mahmut Ergüt Mahmut Akyiğit

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

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