New proof of the Calabi-Bernstein theorem

作者：Romero Alfonso; Rubio Rafael M^*

来源：Geometriae Dedicata, 2010, 147(1): 173-176.

DOI：10.1007/s10711-009-9448-0

• Spacelike surface
• Zero mean curvature
• Calabi-Bernstein theorem

By means of a local integral formula on a maximal surface, which involves the hyperbolic angle between the unit normal vector field and a fixed timelike direction, we give a new proof of the parametric Calabi-Bernstein theorem. A suitable modification of the integral formula gives an independent proof to the non-parametric case of this result.

• 出版日期2010-8