CLASSIFICATION OF ZERO MEAN CURVATURE SURFACES OF SEPARABLE TYPE IN LORENTZ-MINKOWSKI SPACE

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Kaya S., Lopez R.

TOHOKU MATHEMATICAL JOURNAL, cilt.74, sa.2, ss.263-286, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2748/tmj.20210120a
  • Dergi Adı: TOHOKU MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.263-286
  • Anahtar Kelimeler: Lorentz-Minkowski space, zero mean curvature, separable surface, MINIMAL-SURFACES, MAXIMAL SURFACES
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

Consider the Lorentz-Minkowski 3-space L-3 with the metric dx(2) + dy(2) - dz(2) in canonical coordinates (x, y, z). A surface in L-3 is said to be separable if it satisfies an equation of the form f (x) + g (y) + h (z) = 0 for some smooth functions f , g and h defined in open intervals of the real line. In this article we classify all zero mean curvature surfaces of separable type, providing a method of construction of examples.