Riemann zero mean curvature examples in Lorentz-Minkowski space
Identificadores
URI: http://hdl.handle.net/10481/72653Metadata
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Wiley
Materia
Lorenz-Minkowski space Zero mean curvature Circle Riemann minimal example
Date
2021-11-05Referencia bibliográfica
Published version: Kaya, S, López, R. Riemann zero mean curvature examples in Lorentz–Minkowski space. Math Meth Appl Sci. 2022; 1- 19. doi:[10.1002/mma.8093]
Sponsorship
MTM2017-89677-P, MINECO/AEI/FEDER, UE.Abstract
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.