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arxiv: math/0512255 · v1 · submitted 2005-12-13 · 🧮 math.DG

Deformations of surfaces preserving conformal or similarity invariants

classification 🧮 math.DG
keywords surfacesmoebiusdeformationsinvariantspreservingsimilarityadmitapplicable
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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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