A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature

DOI10.1007/978-3-319-64813-2_6zbMath1432.53052arXiv1710.05946OpenAlexW2766627728MaRDI QIDQ3120449

Mikhael Gromov

Publication date: 4 March 2019

Published in: Foundations of Mathematics and Physics One Century After Hilbert (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05946

zbMATH Keywords

geometryscalar curvaturetopologyRiemannian spacepositive scalar curvatureopen manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (16)

The general relativistic constraint equations ⋮ Mass and Riemannian polyhedra ⋮ NNSC-cobordism of Bartnik data in high dimensions ⋮ Extremality and rigidity for scalar curvature in dimension four ⋮ Three-Dimensional Alexandrov Spaces: A Survey ⋮ Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension ⋮ The dihedral rigidity conjecture for \(n\)-prisms ⋮ Scalar curvature via local extent ⋮ Mean curvature in the light of scalar curvature ⋮ Covariant vs contravariant methods in differential geometry ⋮ Dihedral rigidity of parabolic polyhedrons in hyperbolic spaces ⋮ On scalar and Ricci curvatures ⋮ A survey on positive scalar curvature metrics ⋮ Nonexistence of DEC spin fill-ins ⋮ Scalar curvature on some open 3-manifolds ⋮ On modified Einstein tensors and two smooth invariants of compact manifolds

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