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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Simple proof of Calabi-Bernstein's Theorem on maximal surfaces

Author(s): Alfonso Romero
Journal: Proc. Amer. Math. Soc. 124 (1996), 1315-1317.
MSC (1991): Primary 53C42, 53C50
MathSciNet review: 1350960
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References | Similar articles | Additional information

References:

[Ca]
E. Calabi, Examples of Bernstein problems for some non-linear equations, Proc. Sympos. Pure Math. 15 (1970), 223--230. MR 41:8806

[Ch]
S. S. Chern, Simple proofs of two theorems on minimal surfaces, Enseign. Math. 15 (1969), 53--61. MR 39:7516

[C-Y]
S. T. Cheng, S. T. Yau, Maximal spacelike hypersurfaces in the Lorentz-Minkowski space, Ann. of Math. 104 (1976), 407--419. MR 55:4063

[E-R]
F. J. M. Estudillo, A. Romero, Generalized maximal surfaces in Lorentz-Minkowski space $\mathbb L^3$, Math. Proc. Camb. Phil. Soc. 111 (1992), 515--524. MR 93b:53010

[K]
O. Kobayashi, Maximal surfaces in the $3$-dimensional Minkowski space $\mathbb L^3$, Tokyo J. Math. 6 (1983), 297--309. MR 85d:53003


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Additional Information:

Alfonso Romero
Affiliation: Departamento de Geometria y Topologia, Facultad de Ciencias, Universidad de Granada, 18071-Granada
Email: aromero@ugr.es

DOI: 10.1090/S0002-9939-96-03596-4
PII: S 0002-9939(96)03596-4
Keywords: Maximal surface, entire maximal graph, Lorentz-Minkowski space.
Received by editor(s): August 11, 1994
Additional Notes: Research partially supported by DGICYT Grant No. PB91-0731
Dedicated: Dedicated to the memory of Professor P. Bobillo
Communicated by: Christopher Croke
Copyright of article: Copyright 1996, American Mathematical Society




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