A Rigidity Theorem for an Affine Kähler–Ricci Flat Graph

A Rigidity Theorem for an Affine Kähler–Ricci Flat Graph
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DOI:
10.1007/s00025-009-0398-5
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发表时间:
2007-10
影响因子:
2.2
通讯作者:
An-Min Li;Ruiwei Xu
An-Min Li;Ruiwei Xu
中科院分区:
数学3区
文献类型:
--
作者:
An-Min Li;Ruiwei Xu

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本文证明了,是常数,必须是二次多项式。这推广了著名的J\"{o}rgens-Calabi-Pogorelov定理。
It is shown that any smooth strictly convex global solution ofwhere,,...,are constants, must be a quadratic polynomial. This extends a well-known theorem of J\"{o}rgens-Calabi-Pogorelov.