Ricci curvature, the convexity of volume and minimal Lagrangian submanifolds

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2024-06-06 DOI:10.4310/jsg.2023.v21.n6.a3

Tommaso Pacini

引用次数: 0

Abstract

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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里奇曲率、体积凸性和最小拉格朗日子平面

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。

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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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.