We consider the class of minimal surfaces given by the graphical strips S in the Heisenberg group H1 and we prove that for points p along the center of H1 the quantity is monotone increasing. Here, Q is the homogeneous dimension of H1. We also prove that these minimal surfaces have maximum volume growth at infinity.
- First and second variation
- H-mean curvature
- Integration by parts
- Minimal surfaces
- Monotonicity of the H-perimeter