Abstract:In this paper, we consider some evolution equations of generalized Ricci curvature and generalized scalar curvature under the List's flow. As applications, we obtain $L^2$-estimates for generalized scalar curvature and the first variational formulae for non-negative eigenvalues with respect to the Laplacian.
Keywords: List's flow; eigenvalue; scalar curvature
AMS Subject Classification: 53C44 53C21