Mateus Souza

Operator $Δ-aS$ on warped product manifolds

In this work we studied the stability of the family of operators $L_a=Δ-aS$, $a\in\mathbb R$, in a warped product of an infinite interval or real line by one compact manifold, where $Δ$ is the Laplacian and $S$ is the scalar curvature of the resulting manifold.