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Deformations of surfaces preserving conformal or similarity invariants

2005/12/13 by Atsushi Fujioka, Fujioka, Atsushi, Jun-ichi Inoguchı +1
Engineering · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Advanced Numerical Analysis Techniques #Elasticity and Wave Propagation

paper · pdf · doi:10.48550/arxiv.math/0512255

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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