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Spinorial representation of submanifolds in metric Lie groups

Abstract : In this paper we give a spinorial representation of submanifolds of any dimension and codimension into Lie groups equipped with left invariant metrics.
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https://hal.archives-ouvertes.fr/hal-00739665
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Submitted on : Tuesday, February 7, 2017 - 11:49:38 AM
Last modification on : Saturday, January 15, 2022 - 4:04:17 AM
Long-term archiving on: : Monday, May 8, 2017 - 12:51:02 PM

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Pierre Bayard, Julien Roth, Berenice Zavala Jimenez. Spinorial representation of submanifolds in metric Lie groups. Journal of Geometry and Physics, Elsevier, 2017, 114, pp.348-374. ⟨10.1016/j.geomphys.2016.12.011⟩. ⟨hal-00739665v4⟩

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