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 Abelian and we investigate how to extend them to the non-Abelian case
Convexity theorems for the gradient map on probability measures / Biliotti, Leonardo; Raffero, Alberto. - In: COMPLEX MANIFOLDS. - ISSN 2300-7443. - 5:1(2018), pp. 133-145. [10.1515/coma-2018-0008]
Convexity theorems for the gradient map on probability measures
Biliotti, Leonardo;
2018-01-01
Abstract
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 Abelian and we investigate how to extend them to the non-Abelian caseFile in questo prodotto:
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