Expanding Ricci solitons asymptotic to cones

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

Saved in:
Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 51; no. 1-2; pp. 1 - 15
Main Author Chodosh, Otis
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2014
Springer Nature B.V
Subjects
Analysis
Asymptotic methods
Asymptotic properties
Calculus of variations
Calculus of Variations and Optimal Control; Optimization
Cones
Control
Infinity
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Partial differential equations
Solitons
Symmetry
Systems Theory
Theoretical
53C24
53C44
Online AccessGet full text

Cover

More Information
Summary:We show that an expanding gradient Ricci soliton which is asymptotic to a cone at infinity in a certain sense must be rotationally symmetric.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-013-0664-y