On space-like class A surfaces in Robertson–Walker spacetimes

Burcu Bektaş Demirci*, Nurettin Cenk Turgay, Rüya Yeğin Şen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider space-like surfaces in Robertson–Walker spacetimes (Formula presented.) with the comoving observer field (Formula presented.). We study some problems related to such surfaces satisfying the geometric conditions imposed on the tangential and normal parts of the unit vector field (Formula presented.), as naturally defined. First, we investigate space-like surfaces in (Formula presented.) satisfying that the tangent component of (Formula presented.) is an eigenvector of all shape operators, called class (Formula presented.) surfaces. Then, we get a classification theorem for space-like class (Formula presented.) surfaces in (Formula presented.). Also, we examine minimal space-like class (Formula presented.) surfaces in (Formula presented.). Finally, we give the parameterizations of space-like surfaces in (Formula presented.) when the normal part of the unit vector field (Formula presented.) is parallel.

Original languageEnglish
JournalMathematische Nachrichten
DOIs
Publication statusAccepted/In press - 2025

Bibliographical note

Publisher Copyright:
© 2025 Wiley-VCH GmbH.

Keywords

  • Robertson–Walker spacetimes
  • class A surfaces
  • minimal surfaces

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