Regularity theory for pluriclosed flow

Jeffrey Streets; Gang Tian

doi:10.1016/j.crma.2010.11.014

Logic

Regularity theory for pluriclosed flow

Presented by: Jean-Michel Bismut

Jeffrey Streets ¹; Gang Tian ¹

¹ Fine Hall, Princeton University, Princeton, NJ 08544, United States

Comptes Rendus. Mathématique, Volume 349 (2011) no. 1-2, pp. 1-4.

Abstract (Original language)
Résumé

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.

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.

Accepted: 2010-11-16
Published online: 2010-11-26

DOI: 10.1016/j.crma.2010.11.014

Author's affiliations:

Jeffrey Streets ¹; Gang Tian ¹

¹ Fine Hall, Princeton University, Princeton, NJ 08544, United States

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Jeffrey Streets; Gang Tian. Regularity theory for pluriclosed flow. Comptes Rendus. Mathématique, Volume 349 (2011) no. 1-2, pp. 1-4. doi : 10.1016/j.crma.2010.11.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.11.014/

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