A note on parallel mean curvature surfaces and Codazzi operators

2023/08/24 by Felippe Guimarães, Guimarães, Felippe
Mathematics · #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2308.12678

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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