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Journals / Conference Proceedings of Science and Technology / 2018 / Cilt: 1 Sayı: 1

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

Önder Gökmen Yıldız0000-0002-2760-1223
Mahmut Ergüt0000-0002-9098-8280
Mahmut Akyiğit0000-0002-8398-365X
Pages
16–19
Publication Date
2018-12-14
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Also we give examples of helicoidal surface with weighted Gaussian curvature.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we study the prescribed curvature problem in manifold with density.
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Key Findings & Data:We consider the Minkowski 3-space with a positive density function.
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Conclusion & Impact:Also we give examples of helicoidal surface with weighted Gaussian curvature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Minkowski space · Helicoidal · Manifold 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.

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Cite This Article

Yıldız, Ö. G., Ergüt, M., Akyiğit, M. (2018). Helicoidal Surfaces Which Have the Timelike Axis in Minkowski Space with Density. Conference Proceedings of Science and Technology, Cilt: 1 Sayı: 1, 16–19. https://ajindex.com/articles/984410

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