Bernstein type theorem for entire weighted minimal graphs in ${\mathbb{G}}^n\times \mathbb{R}$

Abstract

Based on a calibration argument, we prove a Bernstein type theorem for entire minimal graphs over Gauss space ${\mathbb{G}}^n$ by a simple proof.

References in corpus (1)

• Some calibrated surfaces in manifolds with density

Cited by in corpus (2)

• $\varphi$-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime
• Entire $f$-maximal graphs in the lorentzian product ${\mathbb{G}}^n\times {\mathbb{R}}_1$