The analogue of Wilczynski's projective frame in Lie sphere geometry: Lie-applicable surfaces and commuting Schrödinger operators with magnetic fields

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We propose a twistor construction of surfaces in Lie sphere geometry based on the linear system which copies equations of Wilczynski's projective frame. In the particular case of Lie-applicable surfaces this linear system describes joint eigenfunctions of a pair of commuting Schrödinger operators with magnetic fields.
25 pages, Latex

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/61219

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104034
 http://arxiv.org/abs/math/0104034

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arXiv