Deformations of surfaces preserving conformal or similarity invariants
Differential Geometry
2007-05-23 v1
Abstract
In this paper we study Moebius applicable surfaces, i.e., conformally immersed surfaces in Moebius 3-space which admit deformations preserving the Moebius metric. We show new characterizations of Willmore surfaces, Bonnet surfaces and Harmonic inverse mean curvature surfaces in terms of Moebius or similarity invariants.
Keywords
Cite
@article{arxiv.math/0512255,
title = {Deformations of surfaces preserving conformal or similarity invariants},
author = {Atsushi Fujioka and Jun-ichi Inoguchi},
journal= {arXiv preprint arXiv:math/0512255},
year = {2007}
}
Comments
17pages