The relative isoperimetric inequality in Cartan-Hadamard 3-manifolds
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Publication:3445261
DOI10.1515/CRELLE.2007.031zbMath1119.53031OpenAlexW1974173281MaRDI QIDQ3445261
Publication date: 8 June 2007
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crelle.2007.031
Variational problems in a geometric measure-theoretic setting (49Q20) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
Related Items (8)
The relative isoperimetric inequality outside convex domains in \(\mathbb{R}^{n}\) ⋮ Isoperimetric inequalities in unbounded convex bodies ⋮ Some functional properties on Cartan-Hadamard manifolds of very negative curvature ⋮ On the isoperimetric inequality and surface diffusion flow for multiply winding curves ⋮ Relative isoperimetric inequality for minimal submanifolds in a Riemannian manifold ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds ⋮ Isoperimetric inequalities in Euclidean convex bodies ⋮ Isoperimetric inequalities in conically bounded convex bodies
Cites Work
- Unnamed Item
- A sharp four dimensional isoperimetric inequality
- Optimal regularity for codimension one minimal surfaces with a free boundary
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- An isoperimetric comparison theorem
- On soap bubbles and isoperimetric regions in non-compact symmetric spaces. I
- Harnack's inequality for elliptic differential equations on minimal surfaces
- The double cover relative to a convex domain and the relative isoperimetric inequality
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