Year: 2026
Type: article
Abstract: A Weitzenböck-type formula for conformally flat manifolds with nonnegative constant $$\sigma _{2}$$ σ 2 -curvature is established. Based on this, we introduce a suitable class of Riemannian manifolds, called $$\mathcal {A}_{2}$$ A 2 -manifolds, and prove an appropriate version of the Omori-Yau maximum principle for them. As a consequence, we derive several results concerning complete $$\mathcal {A}_{2}$$ A 2 -manifolds and establish a Catino-type integral inequality.
Source: Journal of Geometric Analysis
Authors: Fábio R. dos Santos, Elisa J. Santos
Institution: Universidade Federal de Pernambuco
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Awards: G22113365, G3383999570
OpenAlex ID: W7168806745