Enneper representation of minimal surfaces in the three-dimensional Lorentz–Minkowski space

Onnis, Irene I.
2018-01-01

Abstract

In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz–Minkowski space L3, using the complex and the paracomplex analysis (respectively). Then, we exhibit various examples of minimal surfaces in L3 constructed via the Enneper representation formula that it is equivalent to the Weierstrass representation obtained by Kobayashi (for spacelike immersions) and by Konderak (for the timelike ones).
2018
2017
Inglese
197
1
21
39
19
WOS:000422795600002
2-s2.0-85019765359
http://springerlink.metapress.com/app/home/journal.asp?wasp=cmw755wvtg0qvm8kjj1q&referrer=parent&backto=linkingpublicationresults,1:108198,1
Esperti anonimi
internazionale
scientifica
Enneper immersions; Lorentz–Minkowski space; Minimal surfaces; Weierstrass representation; Applied mathematics
sì
Cintra, Adriana A.; Onnis, Irene I.
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
2
reserved
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