Riv. Mat. Univ. Parma, Vol. 9, No. 2, 2018

Debora Impera [a] and Emilio Musso [a]

Space-like Willmore immersions

Pages: 255-282
Received: 19 July 2018
Accepted in revised form: 27 November 2018
Mathematics Subject Classification (2010): 53C50, 53C42, 53A10, 53A10.
Keywords: Conformal Lorentzian geometry, Einstein Universe, space-like Willmore immersions.
Authors address:
[a]: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy

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Abstract: In this survey paper we implement the method of moving frames to the Lorentzian setting. As an application, we are able to give a geometrical proof of the fact that a space-like Willmore immersion of a compact surface in the oriented, time-oriented conformal compactification of the Minkowski 3-space must be totally umbilical.

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