4 papers
Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with a weighted Poincaré inequality
Matheus Vieira
In this paper we prove type gap theorems in Yang-Mills theory for complete four-dimensional manifolds with a weighted Poincaré inequality. We apply the theorems to a…
Extended Kato inequalities for conformal operators
Daniel Cibotaru, Matheus Vieira
We prove, for a class of first order differential operators containing the generalized gradients, Dirac and Penrose twistor operators, a family of Kato inequalities that interpolat…
Spectrum of the drift Laplacian on Ricci expanders
Helton Leal, Matheus Vieira, Detang Zhou
In this paper, we study the spectrum of the drift Laplacian on Ricci expanders. We show that the spectrum is discrete when the potential function is proper, and we show that the hy…
Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant
Matheus Vieira
In this paper we prove gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant. We extend the results of Gursky-Kelleher-Streets to…