1 citations · 2 across the 9 of their papers we have counts for
11 papers
Decay estimates for Yang-Mills connections and Yang-Mills-Higgs pairs in higher dimensions
Matheus Vieira
We obtain decay estimates at infinity for Yang-Mills connections and Yang-Mills-Higgs pairs on higher-dimensional manifolds. The main tool is an abstract decay theorem for manifold…
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…
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…
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…
The Gauss map of hypersurfaces with constant weighted mean curvature in the Gaussian space
Michael Gomez, Matheus Vieira
In this paper we study the Gauss map of hypersurfaces with constant weighted mean curvature in the Gaussian space. We show that if the image of the Gauss map is in a closed hemisph…
Constant weighted mean curvature hypersurfaces in Shrinking Ricci Solitons
Igor Miranda, Matheus Vieira
In this paper, we study constant weighted mean curvature hypersurfaces in shrinking Ricci solitons. First, we show that a constant weighted mean curvature hypersurface with finite…
Biharmonic hypersurfaces in hemispheres
Matheus Vieira
In this paper we consider the Balmuş-Montaldo-Oniciuc's conjecture in the case of hemispheres. We prove that a compact non-minimal biharmonic hypersurface in a hemisphere of $S^{n+…
Volume growth of complete submanifolds in gradient Ricci Solitons with bounded weighted mean curvature
Xu Cheng, Matheus Vieira, Detang Zhou
In this article, we study properly immersed complete noncompact submanifolds in a complete shrinking gradient Ricci soliton with weighted mean curvature vector bounded in norm. We…
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 b…
Geometric properties of self-shrinkers in cylinder shrinking Ricci solitons
Matheus Vieira, Detang Zhou
In this paper we prove some spectral properties of the drifted Laplacian of self-shrinkers properly immersed in gradient shrinking Ricci solitons. Then we use these results to prov…
Harmonic Forms on Manifolds with Non-Negative Bakry-Émery-Ricci Curvature
Matheus Vieira
In this paper we prove that on a complete smooth metric measure space with non-negative Bakry-Émery-Ricci curvature if the space of weighted L^2 harmonic one-forms is non-trivial t…