$Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}$

Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}

We prove that Einstein submanifolds in $\mathbb{S}^n\times\mathbb{R}$ 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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Hauptverfasser:	Garcia, Estela, Manfio, Fernando
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Sprache:	eng
Schlagworte:	Mathematics - Differential Geometry
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creator	Garcia, Estela Manfio, Fernando
description	We prove that Einstein submanifolds in $\mathbb{S}^n\times\mathbb{R}$ with flat normal bundle and parallel mean curvature are warped product of isometric immersions. Key words: Einstein submanifolds, Parallel mean curvature, Flat normal bundle.
doi_str_mv	10.48550/arxiv.2401.15072
format	Article
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title	Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}
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