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

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YILDIZ Ö. G.

Mathematics, cilt.7, sa.1, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/math7010027
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Complete manifold, Helicoidal surface, Manifold with density, Weighted curvature
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

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.