关于Donaldson方程整体解的Bernstein结果和反例
A Bernstein result and counterexample for entire solutions to Donaldson's equation
摘要:
利用何伟勇的一个结果,证明了唐纳森方程的凸整体解是二次的。我们还展示了唐纳森方程的整个解决方案,而不是他所讨论的形式。在这个过程中,我们发现了一些复杂的蒙日-安培方程的非平凡的整体解。
英文摘要:
We show that convex entire solutions to Donaldson's equation are quadratic, using a result of Weiyong He. We also exhibit entire solutions to the Donaldson equation that are not of the form discussed by He. In the process we discover some non-trivial entire solutions to complex Monge-Ampère equations.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。