Asymptotic behavior of positively curved steady RICCI solitons

Yuxing Deng; Xiaohua Zhu

doi:10.1090/tran/7235

Asymptotic behavior of positively curved steady RICCI solitons

Yuxing Deng
, Xiaohua Zhu

Beijing Normal University
Peking University

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

12 Citations (Scopus)

Abstract

In this paper, we analyze the asymptotic behavior of κ-noncollapsed and positively curved steady Ricci solitons and prove that any n-dimensional κ-noncollapsed steady Kähler–Ricci soliton with nonnegative sectional curvature must be flat.

Original language	English
Pages (from-to)	2855-2877
Number of pages	23
Journal	Transactions of the American Mathematical Society
Volume	370
Issue number	4
DOIs	https://doi.org/10.1090/tran/7235
Publication status	Published - Apr 2018
Externally published	Yes

Keywords

Ricci flow
Ricci soliton
κ-solution

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10.1090/tran/7235

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title = "Asymptotic behavior of positively curved steady RICCI solitons",

abstract = "In this paper, we analyze the asymptotic behavior of κ-noncollapsed and positively curved steady Ricci solitons and prove that any n-dimensional κ-noncollapsed steady K{\"a}hler–Ricci soliton with nonnegative sectional curvature must be flat.",

keywords = "Ricci flow, Ricci soliton, κ-solution",

author = "Yuxing Deng and Xiaohua Zhu",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2018",

month = apr,

doi = "10.1090/tran/7235",

language = "English",

volume = "370",

pages = "2855--2877",

journal = "Transactions of the American Mathematical Society",

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T1 - Asymptotic behavior of positively curved steady RICCI solitons

AU - Deng, Yuxing

AU - Zhu, Xiaohua

PY - 2018/4

Y1 - 2018/4

N2 - In this paper, we analyze the asymptotic behavior of κ-noncollapsed and positively curved steady Ricci solitons and prove that any n-dimensional κ-noncollapsed steady Kähler–Ricci soliton with nonnegative sectional curvature must be flat.

AB - In this paper, we analyze the asymptotic behavior of κ-noncollapsed and positively curved steady Ricci solitons and prove that any n-dimensional κ-noncollapsed steady Kähler–Ricci soliton with nonnegative sectional curvature must be flat.

KW - Ricci flow

KW - Ricci soliton

KW - κ-solution

UR - https://www.scopus.com/pages/publications/85040820412

U2 - 10.1090/tran/7235

DO - 10.1090/tran/7235

M3 - Article

AN - SCOPUS:85040820412

SN - 0002-9947

VL - 370

SP - 2855

EP - 2877

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 4

ER -

Asymptotic behavior of positively curved steady RICCI solitons

Abstract

Keywords

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