Homothetic motions and surfaces with constant mean curvature in Lorentz 3-space

Çetin E. D., YAYLI Y.

Far East Journal of Mathematical Sciences, cilt.102, sa.10, ss.2501-2522, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 102 Sayı: 10
  • Basım Tarihi: 2017
  • Doi Numarası: 10.17654/ms102102501
  • Dergi Adı: Far East Journal of Mathematical Sciences
  • Derginin Tarandığı İndeksler: Scopus, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2501-2522
  • Anahtar Kelimeler: Homothetic motion, Lorentz space, Mean curvature
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2017 Pushpa Publishing House, Allahabad, India.In this paper, we investigate the surfaces with constant mean curvature, whose generating curve is a graph of a polynomial or Lorentzian circle under homothetic motion groups. In the first case, we show that the degree of the polynomial is 0 or 1, that is the surfaces are ruled surfaces. In the second case, the surfaces generated by a Lorentzian circle under homothetic motion groups, cannot have constant or zero mean curvature.