Expanding Ricci solitons asymptotic to cones

Otis Chodosh

doi:10.1007/s00526-013-0664-y

Expanding Ricci solitons asymptotic to cones

Otis Chodosh

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

25 Scopus citations

Abstract

We show that an expanding gradient Ricci soliton which is asymptotic to a cone at infinity in a certain sense must be rotationally symmetric.

Original language	English (US)
Pages (from-to)	1-15
Number of pages	15
Journal	Calculus of Variations and Partial Differential Equations
Volume	51
Issue number	1-2
DOIs	https://doi.org/10.1007/s00526-013-0664-y
State	Published - Sep 2014

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

53C24
53C44

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10.1007/s00526-013-0664-y

Cite this

@article{155a8640bda549fba312c1de78305e99,

title = "Expanding Ricci solitons asymptotic to cones",

abstract = "We show that an expanding gradient Ricci soliton which is asymptotic to a cone at infinity in a certain sense must be rotationally symmetric.",

keywords = "53C24, 53C44",

author = "Otis Chodosh",

note = "Funding Information: I would like to thank my advisor, Simon Brendle, for suggesting this problem as well as for his invaluable guidance. I am also grateful to Richard Bamler and Leon Simon for discussions about the Ricci flow and asymptotic limit theorems and for their continued encouragement. This work was supported in part by a National Science Foundation Graduate Research Fellowship DGE-1147470. ",

year = "2014",

month = sep,

doi = "10.1007/s00526-013-0664-y",

language = "English (US)",

volume = "51",

pages = "1--15",

journal = "Calculus of Variations and Partial Differential Equations",

issn = "0944-2669",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - Expanding Ricci solitons asymptotic to cones

AU - Chodosh, Otis

N1 - Funding Information: I would like to thank my advisor, Simon Brendle, for suggesting this problem as well as for his invaluable guidance. I am also grateful to Richard Bamler and Leon Simon for discussions about the Ricci flow and asymptotic limit theorems and for their continued encouragement. This work was supported in part by a National Science Foundation Graduate Research Fellowship DGE-1147470.

PY - 2014/9

Y1 - 2014/9

N2 - We show that an expanding gradient Ricci soliton which is asymptotic to a cone at infinity in a certain sense must be rotationally symmetric.

AB - We show that an expanding gradient Ricci soliton which is asymptotic to a cone at infinity in a certain sense must be rotationally symmetric.

KW - 53C24

KW - 53C44

UR - https://www.scopus.com/pages/publications/84906320644

UR - https://www.scopus.com/pages/publications/84906320644#tab=citedBy

U2 - 10.1007/s00526-013-0664-y

DO - 10.1007/s00526-013-0664-y

M3 - Article

AN - SCOPUS:84906320644

SN - 0944-2669

VL - 51

SP - 1

EP - 15

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 1-2

ER -

Expanding Ricci solitons asymptotic to cones

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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