MINIMAL GRAPHS IN ℝ⁴ WITH BOUNDED JACOBIANS

MINIMAL GRAPHS IN ℝ⁴ WITH BOUNDED JACOBIANS

We obtain a Bernstein type result for entire two dimensional minimal graphs in ℝ⁴ , which extends a previous result due to L. Ni. Moreover, we provide a characterization for complex analytic curves.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2009-10, Vol.137 (10), p.3463-3471
Hauptverfasser: HASANIS, TH, SAVAS-HALILAJ, A., VLACHOS, TH
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Curvature
Euclidean space
Exact sciences and technology
General mathematics
General, history and biography
Geometric planes
Jacobians
Mathematical functions
Mathematical theorems
Mathematics
Minimal surfaces
Sciences and techniques of general use
Vector valued functions
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Zusammenfassung:We obtain a Bernstein type result for entire two dimensional minimal graphs in ℝ⁴ , which extends a previous result due to L. Ni. Moreover, we provide a characterization for complex analytic curves.
ISSN:0002-9939
1088-6826