Riemann zero mean curvature examples in Lorentz–Minkowski space

Kaya S., Lopez R.

Mathematical Methods in the Applied Sciences, vol.45, no.9, pp.5067-5085, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 9
  • Publication Date: 2022
  • Doi Number: 10.1002/mma.8093
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: 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
  • Page Numbers: pp.5067-5085
  • Keywords: Lorentz-Minkowski space, maximal surfaces, mean curvature, Riemann examples, SURFACES
  • Ankara University Affiliated: Yes

Abstract

© 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.