Scalar and mean curvature comparison via \(\mu\)-bubbles
From MaRDI portal
Publication:6169094
DOI10.1007/s00526-023-02520-8zbMath1525.53043arXiv2104.10120OpenAlexW3153625845MaRDI QIDQ6169094
Publication date: 11 July 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.10120
Caccioppoli setswarped productsmean curvature comparison\(\mu\)-bubblesRiemannian bandsscalar curvature comparison
Related Items
Preserving positive intermediate curvature ⋮ Non-commutative geometry and cyclic homology. Abstracts from the workshop held July 31 -- August 6, 2022
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cohomology of sheaves
- Deformations of the hemisphere that increase scalar curvature
- Rigidity of area-minimizing two-spheres in three-manifolds
- Metric inequalities with scalar curvature
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- Filling Riemannian manifolds
- On the structure of manifolds with positive scalar curvature
- Spin and scalar curvature in the presence of a fundamental group. I
- The classification of simply connected manifolds of positive scalar curvature
- Scalar curvature and conformal deformation of Riemannian structure
- A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture
- Sharp estimates and the Dirac operator
- The inverse mean curvature flow and the Riemannian Penrose inequality
- Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals
- Existence of hypersurfaces with prescribed mean curvature I -- generic min-max
- The Gromov-Lawson-Chernysh surgery theorem
- Band width estimates via the Dirac operator
- A long neck principle for Riemannian spin manifolds with positive scalar curvature
- Width, largeness and index theory
- Positive scalar curvature due to the cokernel of the classifying map
- Dihedral rigidity of parabolic polyhedrons in hyperbolic spaces
- On the 2-systole of stretched enough positive scalar curvature metrics on \(\mathbb{S}^2\times\mathbb{S}^2\)
- Min-max theory for constant mean curvature hypersurfaces
- Immersions with bounded second fundamental form
- Rigidity and positivity of mass for asymptotically hyperbolic manifolds
- Finiteness conditions for CW-complexes. I, II.
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Width estimate and doubly warped product
- Geometrical Connectivity I
- Enlargeable metrics on nonspin manifolds
- Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions
- Boundary Conditions for Scalar Curvature
