Riemann Zero Mean Curvature Examples in LorentzMinkowski Space
Abstract
Riemann zero mean curvature examples in the LorentzMinkowski 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2018
 DOI:
 10.48550/arXiv.1812.00589
 arXiv:
 arXiv:1812.00589
 Bibcode:
 2018arXiv181200589K
 Keywords:

 Mathematics  Differential Geometry;
 53A10
 EPrint:
 The title has been changed because now is more precise. Many of the proofs and arguments have been simplified. 23 pages, 8 figures