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October 2, 20250 citationsOpen Access

Timelike minimal surface in E³₁ with arbitrary ends

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PVP. VasuRSRahul Kumar SinghSPSubham Paul

Key Points

  • A timelike minimal surface exists with an arbitrary number of weak complete ends, expanding the possibilities in geometric analysis.
  • The study examines the asymptotic behaviour of the simple ends, demonstrating their complex nature in this geometric context.
  • The topology of the singularity set shows significant characteristics, indicating deeper implications for the structure of timelike surfaces.
  • The research can inform further investigations into the geometric properties of surfaces within the broader framework of Lorentzian geometry.

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.

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Cite This Study

Vasu et al. (2025) studied this question.

synapsesocial.com/papers/68de84bf5b556a9128e1bf0bhttps://doi.org/10.48550/arxiv.2506.19606
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