Minimal graphs in $\mathbb {R}^{4}$ with bounded Jacobians
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- by Th. Hasanis, A. Savas-Halilaj and Th. Vlachos PDF
- Proc. Amer. Math. Soc. 137 (2009), 3463-3471 Request permission
Abstract:
We obtain a Bernstein type result for entire two dimensional minimal graphs in $\mathbb {R}^{4}$, which extends a previous result due to L. Ni. Moreover, we provide a characterization for complex analytic curves.References
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Additional Information
- Th. Hasanis
- Affiliation: Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece
- MR Author ID: 82090
- Email: thasanis@uoi.gr
- A. Savas-Halilaj
- Affiliation: Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece
- MR Author ID: 045365
- Email: ansavas@cc.uoi.gr
- Th. Vlachos
- Affiliation: Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece
- MR Author ID: 291296
- Email: tvlachos@uoi.gr
- Received by editor(s): July 7, 2008
- Received by editor(s) in revised form: January 27, 2009
- Published electronically: May 8, 2009
- Additional Notes: The second author was supported financially by the Foundation for Education and European Culture.
- Communicated by: Richard A. Wentworth
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3463-3471
- MSC (2000): Primary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-09-09901-8
- MathSciNet review: 2515415