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

BULCA, BETÜL; Milousheva, Velichka

doi:10.1007/s00009-017-0878-x

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, Scopus)

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.