Constructions of helicoidal surfaces in a 3-dimensional complete manifold with density

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YILDIZ Ö. G.

Mathematics, vol.7, no.1, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.3390/math7010027
  • Journal Name: Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Complete manifold, Helicoidal surface, Manifold with density, Weighted curvature
  • Bilecik Şeyh Edebali University Affiliated: Yes

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.