A Bernstein Property of Some Affine Kähler Scalar Flat Graph
A Bernstein Property of Some Affine Kähler Scalar Flat Graph
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DOI：
10.1007/s00025-009-0379-8
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发表时间：
2009-07
影响因子：
2.2
通讯作者：
Lilian T. Sheng;Gang Chen
中科院分区：
文献类型：
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作者：
Lilian T. Sheng;Gang Chen
本文考虑上Abreu方程的光滑严格凸解u，其中(Uij)表示矩阵(Uij)的余因子矩阵，得到了一个Bernstein性质，即如果仿射Kähler-Ricci曲率的范数从上有界，则u一定是二次多项式.
In this paper we consider the smooth, strictly convex solution u of the Abreu equation on, where (Uij) denotes the cofactor matrix of the matrix (uij); we obtain a Bernstein property, that is, u must be a quadratic polynomial if the norm of affine Kähler–Ricci curvature is bounded from above.