Meridian Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-Space with Neutral Metric

BULCA B., Milousheva V.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.14, sa.2, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00009-017-0878-x
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Meridian surfaces, Quasi-minimal surfaces, Constant mean curvature, Pseudo-Euclidean space with neutral metric, SPACE, CLASSIFICATION
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present paper we consider a special class of Lorentz surfaces in the four-dimensional pseudo-Euclidean space with neutral metric which are one-parameter systems of meridians of rotational hypersurfaces with timelike, spacelike, or lightlike axis and call them meridian surfaces. We give the complete classification of minimal and quasi-minimal meridian surfaces. We also classify the meridian surfaces with non-zero constant mean curvature.