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arXiv · 1112.3452

On complete submanifolds with parallel mean curvature in product spaces

Dorel Fetcu·Harold Rosenberg
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Abstract

We prove a Simons type formula for submanifolds with parallel mean curvature vector field in product spaces of type $M^n(c)\times\mathbb{R}$, where $M^n(c)$ is a space form with constant sectional curvature $c$, and then we use it to characterize some of these submanifolds.

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Dorel Fetcu, Harold Rosenberg. 2011-12-15. On complete submanifolds with parallel mean curvature in product spaces. https://arxiv.org/abs/1112.3452

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