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

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

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 weigh...

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Veröffentlicht in:Mathematics (Basel) 2019-01, Vol.7 (1), p.27
1. Verfasser: Yıldız, Önder
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Density
Mathematics
Ordinary differential equations
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7010027