Wallace Gomes

Gap type results for submanifolds with weighted mean curvature in Gaussian space

We study complete n -dimensional submanifolds immersed in the Gaussian space $$\mathbb {G}^{n+p},$$ that is, the Euclidean space $$\mathbb {R}^{n+p}$$ endowed with its standard metric and the Gaussian weight $$e^{-|x|^2/4}$$ . More precisely, in codimension $$p\ge 2,$$ we consider submanif...