On the Conditional Measures on the Orbits of the Complex Torus

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2021-02-17 DOI:10.1307/mmj/20216050

Szymon Myga

引用次数: 0

Abstract

We explore the structure of invariant measures on compact Kähler manifolds with Hamiltonian torus actions. We derive the formula for conditional measures on the orbits of the complex torus and use it to prove a conditional statement about uniqueness of solutions to the g-Monge-Ampère equation.

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关于复环面轨道的条件测度

研究了具有哈密顿环面作用的紧Kähler流形上不变测度的结构。我们导出了复环面轨道上的条件测度公式，并用它证明了g- monge - ampontre方程解的唯一性的一个条件命题。

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

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.