A note on parallel mean curvature surfaces and Codazzi operators

Felippe Guimarães

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arXiv · 2308.12678

A note on parallel mean curvature surfaces and Codazzi operators

Felippe Guimarães

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Abstract

We present an intrinsic Klotz-Osserman type theorem for surfaces in terms of Codazzi operators. Additionally, utilizing Simons' formula, we investigate surfaces with parallel mean curvature with non-positive Gaussian curvature in product spaces.

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Felippe Guimarães. 2023-08-24. A note on parallel mean curvature surfaces and Codazzi operators. https://arxiv.org/abs/2308.12678

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