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  • 學位論文

卡拉比-丘定理

The Calabi-Yau Theorem

指導教授 : 王藹農

摘要


這篇論文的目的是證明卡拉比猜想。在這篇論文裡我們將稱它為 卡拉比-丘定理。我們將不會討論這個定理的任何應用。我只是盡 自己可能去把證明寫清楚。

關鍵字

卡拉比 猜想

並列摘要


The goal of this thesis is to prove the Calabi conjecture, which will be refered to as the Calabi-Yau Theorem. No applications of this theorem will be discussed. I just try my best to make the proof as clear as possible.

並列關鍵字

Calabi Yau conjecture

參考文獻


[1] J. P. Bourguignon et al. premi`ere classe de Chern et courbure de Ricci:
[2] E. Calabi. The space of K¨ahler metrics, Proc. Internat. Congress Math.
Amsterdam, Vol. 2 (1954), 206-207.
[3] D. Gilbarg, N. S. Trudinger. Elliptic Partial Di erential Equations of
[4] V. L. Hansen(Ed.). Di erential Geometry, Lecture Notes in Mathematics

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