On the weighted forward reduced volume of Ricci flow (Q2839370)
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scientific article; zbMATH DE number 6184485
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the weighted forward reduced volume of Ricci flow |
scientific article; zbMATH DE number 6184485 |
Statements
On the weighted forward reduced volume of Ricci flow (English)
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5 July 2013
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Ricci flow
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weighted forward reduced volume
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type-III singularities
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gradient expanding soliton
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Expanding ideas and results from [\textit{M. Feldman} et al., J. Geom. Anal. 15, No. 1, 49--62 (2005; Zbl 1071.53040)], the authors introduce a weighted forward reduced volume for expanders of the Ricci flow \(\frac{\partial g}{\partial t} =-2\mathrm{Ric}\) and prove that it is well-defined on non-compact manifolds and monotone non-increasing under the Ricci flow.
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