Simple proof of Calabi-Bernstein’s Theorem on maximal surfaces
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- by Alfonso Romero PDF
- Proc. Amer. Math. Soc. 124 (1996), 1315-1317 Request permission
References
- Eugenio Calabi, Examples of Bernstein problems for some nonlinear equations, Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 223–230. MR 0264210
- Shiing-shen Chern, Simple proofs of two theorems on minimal surfaces, Enseign. Math. (2) 15 (1969), 53–61. MR 246212
- Shiu Yuen Cheng and Shing Tung Yau, Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces, Ann. of Math. (2) 104 (1976), no. 3, 407–419. MR 431061, DOI 10.2307/1970963
- Francisco J. M. Estudillo and Alfonso Romero, Generalized maximal surfaces in Lorentz-Minkowski space $L^3$, Math. Proc. Cambridge Philos. Soc. 111 (1992), no. 3, 515–524. MR 1151327, DOI 10.1017/S0305004100075587
- Osamu Kobayashi, Maximal surfaces in the $3$-dimensional Minkowski space $L^{3}$, Tokyo J. Math. 6 (1983), no. 2, 297–309. MR 732085, DOI 10.3836/tjm/1270213872
Additional Information
- Alfonso Romero
- MR Author ID: 196140
- Email: aromero@ugr.es
- Received by editor(s): August 11, 1994
- Additional Notes: Research partially supported by DGICYT Grant No. PB91-0731
- Communicated by: Christopher Croke
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1315-1317
- MSC (1991): Primary 53C42, 53C50
- DOI: https://doi.org/10.1090/S0002-9939-96-03596-4
- MathSciNet review: 1350960
Dedicated: Dedicated to the memory of Professor P. Bobillo