Simons type formulas for surfaces in Sol_3 and applications
Differential Geometry
2022-05-03 v1
Abstract
We compute the Laplacian of the squared norm of the second fundamental form of a surface in Sol_3 and then use this Simons type formula to obtain some gap results for compact constant mean curvature surfaces of this space.
Cite
@article{arxiv.2205.00736,
title = {Simons type formulas for surfaces in Sol_3 and applications},
author = {Dorel Fetcu},
journal= {arXiv preprint arXiv:2205.00736},
year = {2022}
}
Comments
13 pages