Ricci solitons: the equation point of view

We discuss some classification results for Ricci solitons, that is, self similar solutions of the Ricci Flow. New simpler proofs of some known results will be presented. In detail, we will take the equation point of view, trying to avoid the tools provided by considering the dynamic properties of th...

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Bibliographic Details
Published inManuscripta mathematica Vol. 127; no. 3; pp. 345 - 367
Main Authors Eminenti, Manolo, La Nave, Gabriele, Mantegazza, Carlo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.11.2008
Subjects
Algebraic Geometry
Calculus of Variations and Optimal Control; Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
53C
58J
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Summary:We discuss some classification results for Ricci solitons, that is, self similar solutions of the Ricci Flow. New simpler proofs of some known results will be presented. In detail, we will take the equation point of view, trying to avoid the tools provided by considering the dynamic properties of the Ricci flow.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-008-0210-y