Steiner and Schwarz symmetrization in warped products and fiber bundles with density

DOI10.4171/RMI/657zbMath1229.49046arXiv0911.1938MaRDI QIDQ643331

Frank Morgan, Nate Harman, Sean Howe

Publication date: 28 October 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1938

zbMATH Keywords

manifolds with densityLens spaceswarped productsSchwarz symmetrizationfiber bundlesSteiner symmetrizationspherical symmetrization

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Foliations (differential geometric aspects) (53C12)

Related Items (8)

The curve shortening problem associated to a density ⋮ Shape optimization of a thermal insulation problem ⋮ The isoperimetric problem for lens spaces ⋮ Rigidity for perimeter inequality under spherical symmetrisation ⋮ Existence of isoperimetric regions in \(\mathbb{R}^{n}\) with density ⋮ Isoperimetric inequalities in cylinders with density ⋮ Some isoperimetric inequalities with respect to monomial weights ⋮ Best constant in Poincaré inequalities with traces: a free discontinuity approach

Cites Work

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• The perimeter inequality under Steiner symmetrization: cases of equality
• Spectral geometry of semi-algebraic sets
• Isoperimetry of waists and concentration of maps
• A new isoperimetric comparison theorem for surfaces of variable curvature
• Heisenberg isoperimetric problem. The axial case
• Isoperimetric problems in sectors with density

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