4 papers
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…
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…