Entire one-periodic maximal surfaces
Vladimir V. Sergienko, Vladimir G. Tkachev
TL;DR
This paper introduces a new class of one-periodic maximal surfaces by studying two-dimensional maximal surfaces with harmonic level-sets, expanding the understanding of such geometric structures.
Contribution
The paper presents a novel class of one-periodic maximal surfaces derived from the analysis of harmonic level-sets in two-dimensional maximal surfaces.
Findings
New class of one-periodic maximal surfaces identified
Harmonic level-sets are key to constructing these surfaces
Advances understanding of geometric properties of maximal surfaces
Abstract
In the present paper we study two-dimensional maximal surfaces with harmonic level-sets. As a corollary we obtain a new class of one-periodic maximal surfaces.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Meromorphic and Entire Functions · Geometric Analysis and Curvature Flows