摘要：Q-curvature as a generalization of Gaussian curvature has been studied extensively for years in the research of conformal geometry. In fact, as a Riemannian geometric object, it shares many similarities with scalar curvature, which seems not being noticed until recent researches. On the other hand, Q-curvature is a very important intermediate scalar-type curvature, which gives us many hints for the study of higher-oder Riemannian invariants. In this talk, we will clarify the interesting connections between scalar curvature, Q-curvature and more generally, CVIs (conformally variational Riemannian invariants).