Deformations of surfaces preserving conformal or similarity invariants
Atsushi Fujioka, Jun-ichi Inoguchi
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.
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