no. 1-2
Logic
Regularity theory for pluriclosed flow
[Théorie de la régularité pour un flot multifermé]

Présenté par : Jean-Michel Bismut

Streets, Jeffrey1 ; Tian, Gang1
1 Fine Hall, Princeton University, Princeton, NJ 08544, United States
Comptes Rendus. Mathématique, Tome 349 (2011) no. 1-2, pp. 1-4.

Dans Streets et Tian (2010) [6] les auteurs ont introduit un flot parabolique de métriques multifermées. On donne dans cette Note de nouveaux résultats incluant des propriétés de régularité, une propriété de gradient et une fonctionnelle d'entropie croissante, puis une conjecture pour des résultats d'existence et leurs conséquences topologiques. On introduit aussi une famille d'évolutions géométriques dans une géométrie presque hermitienne qui fournit un cadre général à l'étude de ce flot.

In Streets and Tian (2010) [6] the authors introduced a parabolic flow of pluriclosed metrics. New advancements in the study of this flow are given, including improved regularity results, a gradient property and expanding entropy functional, and a conjectural picture of optimal existence results and their topological consequences. Finally we introduce a family of geometric evolutions in almost Hermitian geometry which provides a general framework for this flow.

Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.11.014
Streets, Jeffrey 1 ; Tian, Gang 1

1 Fine Hall, Princeton University, Princeton, NJ 08544, United States 
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Streets, Jeffrey; Tian, Gang. Regularity theory for pluriclosed flow. Comptes Rendus. Mathématique, Tome 349 (2011) no. 1-2, pp. 1-4. doi : 10.1016/j.crma.2010.11.014. http://www.numdam.org/articles/10.1016/j.crma.2010.11.014/

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