Positive scalar curvature meets Ricci limit spaces

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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Characterization of low dimensional $RCD^\ast(K, N)$ spaces
An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature
Describing the universal cover of a noncompact limit
Metric inequalities with scalar curvature
Regularity of Einstein manifolds and the codimension 4 conjecture
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Complete manifolds with nonnegative Ricci curvature and large volume growth
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Geometry of positive scalar curvature on complete manifold
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Conjectures and open questions on the structure and regularity of spaces with lower Ricci curvature bounds
Dirac and Plateau billiards in domains with corners
On the universal cover and the fundamental group of an $\mathsf{RCD}^\ast(K,N)$-space
Cones over metric measure spaces and the maximal diameter theorem
Structure theory of metric measure spaces with lower Ricci curvature bounds
On the geometry of metric measure spaces. II
An upper bound for the curvature integral
Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows
On Complete Manifolds With Nonnegative Ricci Curvature
Semiconcave functions in Alexandrov's geometry
Non-collapsed spaces with Ricci curvature bounded from below
Canonical smoothing of compact Alexandrov surfaces via Ricci flow
Some topological results of Ricci limit spaces
Scalar Curvature and Intrinsic Flat Convergence
Positivity of Curvature On Manifolds With Boundary
Rigidity of area-minimizing $2$-spheres in $n$-manifolds with positive scalar curvature
$d_p$-convergence and $\epsilon$-regularity theorems for entropy and scalar curvature lower bounds
Volume growth of 3-manifolds with scalar curvature lower bounds
A quantitative relative index theorem and Gromov's conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie)
Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature
Four Lectures on Scalar Curvature
The metric measure boundary of spaces with Ricci curvature bounded below
Ricci curvature in dimension 2
Optimal diameter estimate of three-dimensional Ricci limit spaces
Generalized soap bubbles and the topology of manifolds with positive scalar curvature
Area and Gauss-Bonnet inequalities with scalar curvature

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