Convexity theorems for the gradient map on probability measures

Given a Kähler manifold (Z, J, ω) and a compact real submanifold M ⊂ Z, we study the properties of the gradient map associated with the action of a noncompact real reductive Lie group G on the space of probability measures on M. In particular, we prove convexity results for such map when G is Abelia...

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Bibliographic Details
Main Authors: Biliotti Leonardo, Raffero Alberto
Format: Article
Language:English
Published: De Gruyter 2018-07-01
Series:Complex Manifolds
Subjects:
Online Access:http://www.degruyter.com/view/j/coma.2018.5.issue-1/coma-2018-0008/coma-2018-0008.xml?format=INT