里奇曲率、体积凸性和最小拉格朗日子平面

Pub Date : 2024-06-06 DOI:10.4310/jsg.2023.v21.n6.a3
Tommaso Pacini
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引用次数: 0

摘要

我们还讨论了准均质流形更一般情况下的类似关系,以及最小拉格朗日子流形的存在性结果。
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Ricci curvature, the convexity of volume and minimal Lagrangian submanifolds
We show that, in toric Kähler geometry, the sign of the Ricci curvature corresponds exactly to convexity properties of the volume functional.We also discuss analogous relationships in the more general context of quasi-homogeneous manifolds, and existence results for minimal Lagrangian submanifolds.
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