Deformations of surfaces preserving conformal or similarity invariants

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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.
17pages

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Differential Geometry, 53A10; 37K25

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http://salesiana.dossiersoluciones.com/handle/123456789/106177

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512255
 http://arxiv.org/abs/math/0512255

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arXiv