Willmore-like functionals for surfaces in 3-dimensional Thurston geometries
Differential Geometry
2021-08-18 v2
Abstract
We find analogues of the Willmore functional for each of the Thurston geometries with 4-dimensional isometry group such that the CMC-spheres in these geometries are critical points of these functionals.
Cite
@article{arxiv.1410.8669,
title = {Willmore-like functionals for surfaces in 3-dimensional Thurston geometries},
author = {Dmitry Berdinsky and Yuri Vyatkin},
journal= {arXiv preprint arXiv:1410.8669},
year = {2021}
}