Some properties of the Schouten tensor and applications to conformal geometry

TL;DR

This paper explores nonlinear curvature conditions related to the Schouten tensor and discusses their implications and applications within conformal geometry.

Contribution

It introduces new nonlinear curvature conditions involving the Schouten tensor and examines their relevance to conformal geometric problems.

Findings

Identification of specific nonlinear curvature conditions

Applications to problems in conformal geometry

Insights into the properties of the Schouten tensor

Abstract

The note is about some nonlinear curvature conditions which arise naturally in conformal geometry.