NEW EXAMPLES OF MAXIMAL SURFACES IN LORENTZ-MINKOWSKI SPACE

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Lopez R., Kaya S.

KYUSHU JOURNAL OF MATHEMATICS, cilt.71, sa.2, ss.311-327, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2206/kyushujm.71.311
  • Dergi Adı: KYUSHU JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.311-327
  • Anahtar Kelimeler: maximal surface, Bjorling problem, circle, helix, COMPLETE MINIMAL-SURFACES
  • Ankara Üniversitesi Adresli: Evet

Özet

We use the Bjorling formula in Lorentz-Minkowski space to construct explicit parametrizations of maximal surfaces containing a circle and a helix. For Frenet curves, the orthogonal vector field along the core curve is a linear combination of the principal normal and binormal vectors where the coefficients are hyperbolic trigonometric functions. In the particular case that these coefficients are constant, we obtain all rotational maximal surfaces. We investigate the Weierstrass representation of these surfaces.