The Bour's theorem for invariant surfaces in three-manifolds
Differential Geometry
2023-06-28 v2
Abstract
In this paper, we apply techniques from equivariant geometry to prove that a generalized Bour's theorem holds for surfaces that are invariant under the action of a one-parameter group of isometries of a three-dimensional Riemannian manifold.
Cite
@article{arxiv.2306.03837,
title = {The Bour's theorem for invariant surfaces in three-manifolds},
author = {Iury Domingos and Irene I. Onnis and Paola Piu},
journal= {arXiv preprint arXiv:2306.03837},
year = {2023}
}
Comments
Minor changes in the introduction and the bibliography. All comments are welcome!