Almost Monotonicity Formula for H-minimal Legendrian Surfaces in the Heisenberg Group
Differential Geometry
2023-02-06 v1
Abstract
We prove an almost monotonicity formula for H-minimal Legendrian Surfaces (also called {\it contact stationary legendrian immersions}) in the Heisenberg Group . From this formula we deduce a Bernstein-Liouville type theorem for H-minimal Legendrian Surfaces. This last result happens to be in particular a central ingredient in the analysis part of the proof of the Willmore conjecture given by the author in arXiv:2007.05467
Keywords
Cite
@article{arxiv.2108.09685,
title = {Almost Monotonicity Formula for H-minimal Legendrian Surfaces in the Heisenberg Group},
author = {Tristan Rivière},
journal= {arXiv preprint arXiv:2108.09685},
year = {2023}
}