Théorie de la régularité pour un flot multifermé

Jeffrey Streets; Gang Tian

doi:10.1016/j.crma.2010.11.014

Théorie de la régularité pour un flot multifermé

Translated title of the contribution: Regularity theory for pluriclosed flow

Jeffrey Streets, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Translated title of the contribution	Regularity theory for pluriclosed flow
Original language	French
Pages (from-to)	1-4
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	349
Issue number	1-2
DOIs	https://doi.org/10.1016/j.crma.2010.11.014
State	Published - Jan 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2010.11.014

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abstract = "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.",

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AB - 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.

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Théorie de la régularité pour un flot multifermé

Abstract

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