Scalar and mean curvature comparison via μ-bubbles

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
1. Verfasser: Räde, Daniel
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Curvature
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
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Beschreibung
Zusammenfassung: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.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-023-02520-8