The length of the shortest closed geodesic on positively curved 2-spheres
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Publication:2114159
DOI10.1007/s00209-021-02875-8zbMath1494.53046arXiv2006.04849OpenAlexW3206016532MaRDI QIDQ2114159
Franco Vargas Pallete, Ian M. Adelstein
Publication date: 15 March 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.04849
Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (3)
The first width of non-negatively curved surfaces with convex boundary ⋮ Besse projective spaces with many diameters ⋮ Stable geodesic nets in convex hypersurfaces
Cites Work
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- A lower bound for the first eigenvalue in the Laplacian operator on compact Riemannian manifolds
- Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
- A systolic inequality for geodesic flows on the two-sphere
- Flowers on Riemannian manifolds
- The length of a shortest geodesic net on a closed Riemannian manifold
- A Zoll counterexample to a geodesic length conjecture
- Filling Riemannian manifolds
- Area and the length of the shortest closed geodesic
- Simple closed geodesics on convex surfaces
- Eigenvalue comparison theorems and its geometric applications
- Proof of the double bubble conjecture
- The length of a shortest closed geodesic on a two-dimensional sphere and coverings by metric balls
- The minimal length of a closed geodesic net on a Riemannian manifold with a nontrivial second homology group
- Auf-Wiedersehens-Flächen
- Local extremality of the Calabi-Croke sphere for the length of the shortest closed geodesic
- Geodesic nets on the 2-sphere
- THE LENGTH OF A CLOSED GEODESIC ON A COMPACT SURFACE
- The standard double bubble is the unique stable double bubble in $\mathbf {R}^2$
- Filling Radius and Short Closed Geodesics of the $2$-Sphere
- Riemannian geometry and geometric analysis
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