Monotonicity formulas for minimal submanifolds involving M\"obius transformations
Differential Geometry
2026-05-25 v2
Abstract
For a minimal submanifold of the Euclidean space, we prove monotonicity formulas for its (weighted) volume within images of concentric balls under M\"obius transformations.
Cite
@article{arxiv.2504.12199,
title = {Monotonicity formulas for minimal submanifolds involving M\"obius transformations},
author = {Doanh Pham},
journal= {arXiv preprint arXiv:2504.12199},
year = {2026}
}
Comments
Final version. To appear in Mathematische Zeitschrift