Constructions of Helicoidal Surfaces in a 3-Dimensional Complete Manifold with Density

Önder Gökmen Yıldız
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Önder Gökmen Yıldız: Department of Mathematics, Faculty of Arts and Sciences, Bilecik Şeyh Edebali University, Bilecik 11230, Turkey

Mathematics, 2018, vol. 7, issue 1, 1-10

Abstract: In this paper, we construct a helicoidal surface with a prescribed weighted mean curvature and weighted extrinsic curvature in a 3-dimensional complete manifold with a positive density function. We get a result for the minimal case. Additionally, we give examples of a helicoidal surface with a weighted mean curvature and weighted extrinsic curvature.

Keywords: complete manifold; manifold with density; weighted curvature; helicoidal surface (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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