Scalar and mean curvature comparison via μ-bubbles
Following ideas of Gromov we prove scalar and mean curvature comparison results for Riemannian bands with lower scalar curvature bounds in dimension n ≤ 7 . The model spaces we use are warped products over scalar-flat manifolds with log -concave warping functions.
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| Veröffentlicht in: | Calculus of variations and partial differential equations 2023-09, Vol.62 (7), Article 187 |
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| container_issue | 7 |
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| container_title | Calculus of variations and partial differential equations |
| container_volume | 62 |
| creator | Räde, Daniel |
| description | Following ideas of Gromov we prove scalar and mean curvature comparison results for Riemannian bands with lower scalar curvature bounds in dimension
n
≤
7
. The model spaces we use are warped products over scalar-flat manifolds with
log
-concave warping functions. |
| doi_str_mv | 10.1007/s00526-023-02520-8 |
| format | Article |
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n
≤
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log
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n
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n
≤
7
. The model spaces we use are warped products over scalar-flat manifolds with
log
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| fulltext | fulltext |
| identifier | ISSN: 0944-2669 |
| ispartof | Calculus of variations and partial differential equations, 2023-09, Vol.62 (7), Article 187 |
| issn | 0944-2669 1432-0835 |
| language | eng |
| recordid | cdi_proquest_journals_2834483773 |
| source | SpringerLink Journals |
| subjects | Analysis Calculus of Variations and Optimal Control Optimization Control Curvature Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical |
| title | Scalar and mean curvature comparison via μ-bubbles |
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