On quasiconformal harmonic mappings lifting to minimal surfaces

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TAŞTAN H. M., Polatoglu Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.37, sa.2, ss.267-277, 2013 (SCI-Expanded, Scopus, TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 37 Sayı: 2
• Basım Tarihi: 2013
• Doi Numarası: 10.3906/mat-1106-36
• Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.267-277
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• İstanbul Kültür Üniversitesi Adresli: Evet

Özet

We prove a growth theorem for a function to belong to the class Sigma(mu; a) and generalize a Weierstrass-Enneper representation type theorem for the minimal surfaces given in [5] to spacelike minimal surfaces which lie in 3-dimensional Lorentz-Minkowski space L-3. We also obtain some estimates of the Gaussian curvature of. the minimal surfaces in 3-dimensional Euclidean space R-3 and of the spacelike minimal surfaces in L-3.