Surfaces in Robertson-Walker Space-Times with Positive Relative Nullity

2024/09/17 by Burcu Bektaş Demirci, Demirci, Burcu Bektaş, Nurettin Cenk Turgay +1
Physics and Astronomy · #53C42 #Advanced Mathematical Theories and Applications #Astro and Planetary Science #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2409.11050

openalex publication_date 2024/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we study space-like and time-like surfaces in a Robertson-Walker space-time,, denoted by L⁴₁(f,c), having positive relative nullity. First, we give the necessary and sufficient conditions for such space-like and time-like surfaces in L⁴₁(f,c). Then, we obtain the local classification theorems for space-like and time-like surfaces in L⁴₁(f,0) with positive relative nullity. Finally, we consider the space-like and time-like surfaces in 𝔼¹₁×\mathbbS³ and 𝔼¹₁×ℍ³ with positive relative nullity. These are the special spaces of L⁴₁(f,c) when the warping function f is a constant function, with c=1 for 𝔼¹₁×\mathbbS³ and c=-1 for 𝔼¹₁×ℍ³.

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