关于Chern仿射Bernstein猜想的注记
Notes on Chern's Affine Bernstein Conjecture
摘要：
完备仿射极大曲面有两个著名的定理，一个是E.卡拉比，另一个给党卫军。陈大约十年前，通过研究相关的欧拉-拉格朗日方程，用不同的方法解决了这两个问题。本文综述了陈省身猜想的两个证明，特别是补充了文[L-X-S-J]中遗漏的辅助材料的证明细节。我们在引言中描述了相关背景。我们的调查是合适的，作为一个报告，最近的发展和技术，在某些蒙日-安培方程的研究。
英文摘要：
There were two famous conjectures on complete affine maximal surfaces, one due to E. Calabi, the other to S.S. Chern. Both were solved with different methods about one decade ago by studying the associated Euler-Lagrange equation. Here we survey two proofs of Chern's conjecture in our recent monograph [L-X-S-J], in particular we add some details of the proofs of auxiliary material that were omitted in [L-X-S-J]. We describe the related background in our Introduction. Our survey is suitable as a report about recent developments and techniques in the study of certain Monge-Ampere 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。
