Stability and geometric properties of constant weighted mean curvature hypersurfaces in gradient Ricci solitons (Q1647727)
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scientific article; zbMATH DE number 6894772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and geometric properties of constant weighted mean curvature hypersurfaces in gradient Ricci solitons |
scientific article; zbMATH DE number 6894772 |
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Stability and geometric properties of constant weighted mean curvature hypersurfaces in gradient Ricci solitons (English)
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26 June 2018
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In the present paper, the authors study properties of hypersurfaces with constant weighted mean curvature in gradient Ricci solitons. The constant weighted mean curvature hypersurfaces generalize the \(f\)-minimal hypersurfaces. The authors further establish a relationship between the properness and extrinsic volume growth.
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hypersurface
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weighted volume
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weighted mean curvature
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stability
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index
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gradient Ricci solitons
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0.9357771
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0.9216739
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0.92149633
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