Riemann zero mean curvature examples in Lorentz–Minkowski space

Kaya S., Lopez R.

Mathematical Methods in the Applied Sciences, cilt.45, sa.9, ss.5067-5085, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 9
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.8093
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.5067-5085
  • Anahtar Kelimeler: Lorentz-Minkowski space, maximal surfaces, mean curvature, Riemann examples, SURFACES
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2022 John Wiley & Sons, Ltd.Riemann zero mean curvature examples in the Lorentz–Minkowski space are surfaces with zero mean curvature foliated by circles contained in parallel planes. In contrast to the Euclidean case, this family of surfaces presents new and rich features because of the variety of types of circles. In this paper, we give a geometric description of these examples when the circles are contained in spacelike planes and timelike planes.