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

Estela Garcia; Fernando Manfio

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arXiv · 2401.15072

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

Estela Garcia·Fernando Manfio

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Abstract

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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Estela Garcia, Fernando Manfio. 2024-01-26. Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}$. https://arxiv.org/abs/2401.15072

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