Rotational symmetry of conical Kähler–Ricci solitons

Otis Chodosh; Frederick Tsz Ho Fong

doi:10.1007/s00208-015-1240-x

Rotational symmetry of conical Kähler–Ricci solitons

Otis Chodosh
, Frederick Tsz Ho Fong

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

20 Scopus citations

Abstract

We show that expanding Kähler–Ricci solitons which have positive holomorphic bisectional curvature and are (Formula presented.) -asymptotic to a conical Kähler manifold at infinity must be the U(n)-rotationally symmetric expanding solitons constructed by Cao.

Original language	English (US)
Pages (from-to)	777-792
Number of pages	16
Journal	Mathematische Annalen
Volume	364
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-015-1240-x
State	Published - Apr 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Primary 53C44
Secondary 35C08

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10.1007/s00208-015-1240-x

Cite this

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title = "Rotational symmetry of conical K{\"a}hler–Ricci solitons",

abstract = "We show that expanding K{\"a}hler–Ricci solitons which have positive holomorphic bisectional curvature and are (Formula presented.) -asymptotic to a conical K{\"a}hler manifold at infinity must be the U(n)-rotationally symmetric expanding solitons constructed by Cao.",

keywords = "Primary 53C44, Secondary 35C08",

author = "Otis Chodosh and Fong, \{Frederick Tsz Ho\}",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

year = "2016",

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doi = "10.1007/s00208-015-1240-x",

language = "English (US)",

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journal = "Mathematische Annalen",

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T1 - Rotational symmetry of conical Kähler–Ricci solitons

AU - Chodosh, Otis

AU - Fong, Frederick Tsz Ho

PY - 2016/4/1

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N2 - We show that expanding Kähler–Ricci solitons which have positive holomorphic bisectional curvature and are (Formula presented.) -asymptotic to a conical Kähler manifold at infinity must be the U(n)-rotationally symmetric expanding solitons constructed by Cao.

AB - We show that expanding Kähler–Ricci solitons which have positive holomorphic bisectional curvature and are (Formula presented.) -asymptotic to a conical Kähler manifold at infinity must be the U(n)-rotationally symmetric expanding solitons constructed by Cao.

KW - Primary 53C44

KW - Secondary 35C08

UR - https://www.scopus.com/pages/publications/84930526518

UR - https://www.scopus.com/pages/publications/84930526518#tab=citedBy

U2 - 10.1007/s00208-015-1240-x

DO - 10.1007/s00208-015-1240-x

M3 - Article

AN - SCOPUS:84930526518

SN - 0025-5831

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SP - 777

EP - 792

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

ER -

Rotational symmetry of conical Kähler–Ricci solitons

Abstract

All Science Journal Classification (ASJC) codes

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