The first width of non-negatively curved surfaces with convex boundary
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Publication:6146947
DOI10.1007/s12220-023-01511-7zbMath1530.58010arXiv2211.14815OpenAlexW4390444028MaRDI QIDQ6146947
Sidney Donato, Rafael Montezuma
Publication date: 15 January 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.14815
Variational problems in a geometric measure-theoretic setting (49Q20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Cites Work
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- Linear bounds for lengths of geodesic loops on Riemannian 2-spheres
- A systolic inequality for geodesic flows on the two-sphere
- Rigidity of min-max minimal spheres in three-manifolds
- Minimax problems related to cup powers and Steenrod squares
- Area and the length of the shortest closed geodesic
- Simple closed geodesics on convex surfaces
- The structure of stationary one dimensional varifolds with positive density
- Periodic orbits for convex hamiltonian systems
- Isoperimetry of waists and concentration of maps
- The Allen-Cahn equation on closed manifolds
- Min-max for phase transitions and the existence of embedded minimal hypersurfaces
- Weyl law for the volume spectrum
- Density of minimal hypersurfaces for generic metrics
- The length of a shortest closed geodesic on a two-dimensional sphere and coverings by metric balls
- Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory
- On the two-systole of real projective spaces
- A comparison of the Almgren-Pitts and the Allen-Cahn min-max theory
- The length of the shortest closed geodesic on positively curved 2-spheres
- The first \(p\)-widths of the unit disk
- Allen-Cahn min-max on surfaces
- Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
- Min-max theory for networks of constant geodesic curvature
- The width of ellipsoids
- Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
- Equidistribution of minimal hypersurfaces for generic metrics
- Chord shortening flow and a theorem of Lusternik and Schnirelmann
- The homotopy groups of the integral cycle groups
- On the Free Boundary Min–Max Geodesics
- Regularity of stable minimal hypersurfaces
- THE LENGTH OF A CLOSED GEODESIC ON A COMPACT SURFACE
- Filling Radius and Short Closed Geodesics of the $2$-Sphere
- Existence of curves with constant geodesic curvature in a Riemannian 2-sphere
- The length of a shortest closed geodesic on a surface of finite area
- The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles
- On the existence of closed \(C^{1, 1}\) curves of constant curvature
- The p-widths of a surface
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