Deformations of surfaces preserving conformal or similarity invariants

Details Deformations of surfaces preserving conformal or similarity invariants Deformations of surfaces preserving conformal or similarity invariants

2005-12-13

arxiv.org/abs/math/0512255v1

Mathematics

Differential Geometry

17pages

Scientific paper

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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