Biconservative Surfaces in Robertson-Walker Spaces

2024/08/29 by Turgay, Nurettin Cenk, Şen, Rüya Yeğin · 1 citation
#53A10(Primary) #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.00132

Abstract

In this paper, we mainly focus on space-like PMCV surfaces in Robertson-Walker spacetimes. First, we derive certain geometrical properties of biconservative surfaces in the Robertson-Walker space Lⁿ₁(f, c) of arbitrary dimension. Then, we get complete local classifications of such surfaces in L⁴₁(f,0), L⁵₁(f,0) and L⁵₁(1,± 1). Finally, we proved that a space-like PMCV biconservative surface in Lⁿ₁(f,0) lies on a totally geodesic submanifold with dimension 4 or 5.

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