A note on compact κ-solutions of Kähler-Ricci flow

Yuxing Deng; Xiaohua Zhu

doi:10.1090/proc/14931

A note on compact κ-solutions of Kähler-Ricci flow

Yuxing Deng^*
, Xiaohua Zhu

^*Corresponding author for this work

School of Mathematics and Statistics

Peking University

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

3 Citations (Scopus)

Abstract

In this paper, we give a complete classification of κ-solutions of Kähler-Ricci flow on compact complex manifolds. Namely, they must be quotients of products of irreducible compact Hermitian symmetric manifolds.

Original language	English
Pages (from-to)	3073-3078
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	7
DOIs	https://doi.org/10.1090/proc/14931
Publication status	Published - Jul 2020

Keywords

Generalized Frankel conjecture
Kähler-Ricci flow
κ-solutions

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10.1090/proc/14931

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title = "A note on compact κ-solutions of K{\"a}hler-Ricci flow",

abstract = "In this paper, we give a complete classification of κ-solutions of K{\"a}hler-Ricci flow on compact complex manifolds. Namely, they must be quotients of products of irreducible compact Hermitian symmetric manifolds.",

keywords = "Generalized Frankel conjecture, K{\"a}hler-Ricci flow, κ-solutions",

author = "Yuxing Deng and Xiaohua Zhu",

note = "Publisher Copyright: {\textcopyright} 2020 American Mathematical Society.",

year = "2020",

month = jul,

doi = "10.1090/proc/14931",

language = "English",

volume = "148",

pages = "3073--3078",

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T1 - A note on compact κ-solutions of Kähler-Ricci flow

AU - Deng, Yuxing

AU - Zhu, Xiaohua

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AB - In this paper, we give a complete classification of κ-solutions of Kähler-Ricci flow on compact complex manifolds. Namely, they must be quotients of products of irreducible compact Hermitian symmetric manifolds.

KW - Generalized Frankel conjecture

KW - Kähler-Ricci flow

KW - κ-solutions

UR - https://www.scopus.com/pages/publications/85085997686

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DO - 10.1090/proc/14931

M3 - Article

AN - SCOPUS:85085997686

SN - 0002-9939

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EP - 3078

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

A note on compact κ-solutions of Kähler-Ricci flow

Abstract

Keywords

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