Type I + helicoidal surfaces with prescribed weighted mean or Gaussian curvature in Minkowski space with density

YILDIZ, ÖNDER; Hızal, Selman; Akyiğit, Mahmut

doi:10.2478/auom-2018-0035

Type I + helicoidal surfaces with prescribed weighted mean or Gaussian curvature in Minkowski space with density

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.26, sa.3, ss.99-108, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 26 Sayı: 3
Basım Tarihi: 2018
Doi Numarası: 10.2478/auom-2018-0035
Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.99-108
Anahtar Kelimeler: Helicoidal, Manifold with density, Minkowski space, Weighted curvature
Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 2018, Sciendo. All rights reserved. In this paper, we construct a helicoidal surface of type I + with prescribed weighted mean curvature and Gaussian curvature in the Minkowski 3−space R 3 1 with a positive density function. We get a result for minimal case. Also, we give examples of a helicoidal surface with weighted mean curvature and Gaussian curvature.