Einstein submanifolds with parallel mean curvature into \mathbbSⁿ×ℝ

2024/01/26 by Garcia, Estela, Manfio, Fernando
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.15072

Abstract

We prove that Einstein submanifolds in \mathbbSⁿ×ℝ with flat normal bundle and parallel mean curvature are warped product of isometric immersions. Key words: Einstein submanifolds, Parallel mean curvature, Flat normal bundle.

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