A note on parallel mean curvature surfaces and Codazzi operators
Differential Geometry
2023-09-15 v2
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.
Cite
@article{arxiv.2308.12678,
title = {A note on parallel mean curvature surfaces and Codazzi operators},
author = {Felippe Guimarães},
journal= {arXiv preprint arXiv:2308.12678},
year = {2023}
}