Rigidity of κ -noncollapsed steady Kähler–Ricci solitons

Yuxing Deng; Xiaohua Zhu

doi:10.1007/s00208-019-01807-6

Rigidity of κ -noncollapsed steady Kähler–Ricci solitons

Yuxing Deng, Xiaohua Zhu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Peking University

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

11 Citations (Scopus)

Abstract

In this paper, we show that any n-dimensional κ-noncolla-psed steady (gradient) Kähler–Ricci soliton with nonnegative bisectional curvature must be flat. The result is an improvement to our former work in Deng and Zhu (Trans Am Math Soc 370(4):2855–2877, 2018).

Original language	English
Pages (from-to)	847-861
Number of pages	15
Journal	Mathematische Annalen
Volume	377
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-019-01807-6
Publication status	Published - 1 Jun 2020

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title = "Rigidity of κ -noncollapsed steady K{\"a}hler–Ricci solitons",

abstract = "In this paper, we show that any n-dimensional κ-noncolla-psed steady (gradient) K{\"a}hler–Ricci soliton with nonnegative bisectional curvature must be flat. The result is an improvement to our former work in Deng and Zhu (Trans Am Math Soc 370(4):2855–2877, 2018).",

author = "Yuxing Deng and Xiaohua Zhu",

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AU - Deng, Yuxing

AU - Zhu, Xiaohua

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AB - In this paper, we show that any n-dimensional κ-noncolla-psed steady (gradient) Kähler–Ricci soliton with nonnegative bisectional curvature must be flat. The result is an improvement to our former work in Deng and Zhu (Trans Am Math Soc 370(4):2855–2877, 2018).

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M3 - Article

AN - SCOPUS:85081400430

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SP - 847

EP - 861

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1-2

ER -

Rigidity of κ -noncollapsed steady Kähler–Ricci solitons

Abstract

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