Minimal and Pseudo-Umbilical Rotational Surfaces in Euclidean Space E-4

Dursun U., Turgay N. C.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.10, sa.1, ss.497-506, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s00009-011-0167-z
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.497-506
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper we study general rotational surfaces in E-4 whose meridian curves lie in two-dimensional planes. We firstly find all minimal general rotational surfaces by solving the differential equation that characterizes minimal general rotational surfaces. Then we determine all pseudo-umbilical general rotational surfaces in E-4.