Timelike minimal surface in 𝔼³₁ with arbitrary ends

2025/06/24 by Vasu, Priyank, Singh, Rahul Kumar, Paul, Subham
#30G35 #53A10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.19606

Abstract

In this paper, we show the existence of a timelike minimal surface with an arbitrary number of weak complete ends. Then, we discuss the asymptotic behaviour of the simple ends and the topology of the singularity set of the constructed timelike minimal surface.

Citations

• Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends
• Behavior of the Gaussian curvature of timelike minimal surfaces with singularities
• Normal Families of Bicomplex Meromorphic Functions
• Timelike Minimal Surfaces via Loop Groups
• Maximal surfaces with singularities in Minkowski space

Related

• A Correspondence Between Maximal Surfaces and Timelike Minimal Surfaces in \mathbbL³
• On the regularity of timelike extremal surfaces
• The Topology, Geometry and Conformal Structure of Properly\n\t\t\t\tEmbedded Minimal Surfaces
• Singularities of generalized timelike minimal surfaces in Lorentz-Minkowski 3-space
• A minimal surface with unbounded curvature