New \(r\)-minimal hypersurfaces via perturbative methods
From MaRDI portal
Publication:645299
DOI10.1007/s12220-011-9244-6zbMath1232.53053OpenAlexW1975914315MaRDI QIDQ645299
Juscelino Silva, Levi Lopes de Lima, Jorge Herbert S. de Lira
Publication date: 14 November 2011
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-011-9244-6
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (3)
Two-ended \(r\)-minimal hypersurfaces in Euclidean space ⋮ Poincaré type inequality for hypersurfaces and rigidity results ⋮ Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Constant curvature foliations in asymptotically hyperbolic spaces
- Uniqueness and nonexistence theorems for hypersurfaces with \(H_r=0\)
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- Monotonicity inequalities for the \(r\)-area and a degeneracy theorem for \(r\)-minimal graphs
- Poincaré-Einstein metrics and the Schouten tensor.
- The maximum principle for hypersurfaces with vanishing curvature functions
- The moduli space of complete embedded constant mean curvature surfaces
- Complete and stable \(O(p+1) \times O(q+1)\)-invariant hypersurfaces with zero scalar curvature in Euclidean space \(\mathbb R^{p+q+2}\)
- O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space
- Gluing and moduli for noncompact geometric problems
- Two-ended hypersurfaces with zero scalar curvature
- Stability of hypersurfaces with vanishing r-mean curvatures in euclidean spaces
- Moduli Spaces of Singular Yamabe Metrics
- RIEMANN MINIMAL SURFACES IN HIGHER DIMENSIONS
- Existence result for minimal hypersurfaces with a prescribed finite number of planar ends
This page was built for publication: New \(r\)-minimal hypersurfaces via perturbative methods
