Abstract
We study Möbius applicable surfaces, i.e., conformally immersed surfaces in Möbius 3-space which admit deformations preserving the Möbius metric. We show new characterizations of Willmore surfaces, Bonnet surfaces and harmonic inverse mean curvature surfaces in terms of Möbius or similarity invariants.
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Dedicated to professor Hideki Omori
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Fujioka, A., Inoguchi, Ji. (2007). Deformations of Surfaces Preserving Conformal or Similarity Invariants. In: Maeda, Y., Ochiai, T., Michor, P., Yoshioka, A. (eds) From Geometry to Quantum Mechanics. Progress in Mathematics, vol 252. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4530-4_4
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DOI: https://doi.org/10.1007/978-0-8176-4530-4_4
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