最小拉格朗日子流形的复解析性质

Pub Date : 2018-05-24 DOI:10.4310/jsg.2020.v18.n4.a6

R. Maccheroni

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引用次数: 3

摘要

本文研究了Kaehler环境空间中最小拉格朗日子流形的复性质，以及它们如何依赖于环境曲率。特别地，我们证明了在负曲率情况下，极小拉格朗日不允许全纯盘的填充。该证明依赖于全纯曲线技术和某些凸性结果的混合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Complex analytic properties of minimal Lagrangian submanifolds

In this article we study complex properties of minimal Lagrangian submanifolds in Kaehler ambient spaces, and how they depend on the ambient curvature. In particular, we prove that, in the negative curvature case, minimal Lagrangians do not admit fillings by holomorphic discs. The proof relies on a mix of holomorphic curve techniques and on certain convexity results.

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