Surfaces with parallel mean curvature in warped product spaces

Fernando Manfio; Verônica Reis; Feliciano Vitório

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arXiv · 2603.01394

Surfaces with parallel mean curvature in warped product spaces

Fernando Manfio·Verônica Reis·Feliciano Vitório

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Abstract

In this work, we obtain a geometric description of surfaces $M^2$ of arbitrary codimension in the warped product $\mathbb{R}\times_\rho\mathbb{Q}^n_\epsilon$, with parallel mean curvature vector field in the normal connection, extending a result by Alencar-do Carmo-Tribuzy.

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BibTeX RIS

Fernando Manfio, Verônica Reis, Feliciano Vitório. 2026-03-02. Surfaces with parallel mean curvature in warped product spaces. https://arxiv.org/abs/2603.01394

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