New examples of maximal surfaces in Loretnz-Minkowski space
Rafael L\'opez, Seher Kaya
TL;DR
This paper constructs explicit examples of maximal surfaces in Lorentz-Minkowski space using the Björling problem, focusing on surfaces containing a circle and a helix, and explores their Weierstrass representations.
Contribution
It provides new explicit parametrizations of maximal surfaces in Lorentz-Minkowski space based on the Björling problem, enriching the understanding of such surfaces.
Findings
Explicit parametrizations of maximal surfaces with circle and helix
Analysis of the Weierstrass representation for these surfaces
New examples expanding the class of known maximal surfaces
Abstract
We use the Bj\"orling problem in Lorentz-Minkowski space to obtain explicit parametrizations of maximal surfaces containing a circle and a helix. We investigate the Weierstrass representation of these surfaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Point processes and geometric inequalities