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arXiv 1206.1983math.DGmath.SG
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Goto的广义Kaehler稳定性定理

Goto's generalized Kaehler stability theorem

Gil R. Cavalcanti

AI总结:

本文给出了Goto的广义Kaehler稳定性定理的简短且更直接的证明,表明在J_2由无处为零的闭形式确定时,J_1与J_2的小变形可耦合以保持广义Kaehler结构。

摘要:

在这些笔记中,我们给出了Goto的广义Kaehler稳定性定理的简短且更直接的证明:如果(J_1,J_2)是一个广义kaehler结构,且J_2由无处为零的闭形式确定,那么J_1的小变形可以与J_2的小变形相耦合,使得该对仍保持为广义Kaehler结构。

英文摘要:

In these notes we give a shortened and more direct proof of Goto's generalized Kaehler stability theorem stating that if (J_1,J_2) is a generalized kaehler structure for which J_2 is determined by a nowhere vanishing closed form, then small deformations of J_1 can be coupled with small deformations of J_2 so that the pair remains a generalized Kaehler structure.

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。

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