Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}$
Differential Geometry
2024-01-29 v1
Abstract
We prove that Einstein submanifolds in with flat normal bundle and parallel mean curvature are warped product of isometric immersions. Key words: Einstein submanifolds, Parallel mean curvature, Flat normal bundle.
Keywords
Cite
@article{arxiv.2401.15072,
title = {Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}$},
author = {Estela Garcia and Fernando Manfio},
journal= {arXiv preprint arXiv:2401.15072},
year = {2024}
}
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18 pages