TY - JOUR
T1 - On space-like class A surfaces in Robertson–Walker spacetimes
AU - Demirci, Burcu Bektaş
AU - Turgay, Nurettin Cenk
AU - Şen, Rüya Yeğin
N1 - Publisher Copyright:
© 2025 Wiley-VCH GmbH.
PY - 2025
Y1 - 2025
N2 - 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.
AB - 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.
KW - Robertson–Walker spacetimes
KW - class A surfaces
KW - minimal surfaces
UR - http://www.scopus.com/inward/record.url?scp=85214436014&partnerID=8YFLogxK
U2 - 10.1002/mana.202400374
DO - 10.1002/mana.202400374
M3 - Article
AN - SCOPUS:85214436014
SN - 0025-584X
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
ER -