Topological and Geometric Rigidity for Spaces with Curvature Bounded Below

Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Algebraic topology on manifolds and differential topology (57R19)

Cites Work

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A glance at three-dimensional Alexandrov spaces
Local curvature-dimension condition implies measure-contraction property
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces
A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry
On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
An integral formula for the volume entropy with applications to rigidity
Three-dimensional Alexandrov spaces with positive or nonnegative Ricci curvature
On manifolds homeomorphic to the 7-sphere
Generalized Poincaré's conjecture in dimensions greater than four
The topology of four-dimensional manifolds
Rigidité topologique sous l'hypothèse \flqq entropie majorée\frqq\ et applications
Localization and tensorization properties of the curvature-dimension condition for metric measure spaces
Finsler interpolation inequalities
Topological entropy for geodesic flows
Sobolev spaces on warped products
Closed three-dimensional Alexandrov spaces with isometric circle actions
Entropy and rigidity of locally symmetric spaces of strictly negative curvature
Orientation and symmetries of Alexandrov spaces with applications in positive curvature
On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces
On topological rigidity of Alexandrov 3-spaces
Three-dimensional Alexandrov spaces with local isometric circle actions
The globalization theorem for the curvature-dimension condition
Lectures on nonsmooth differential geometry
On the universal cover and the fundamental group of an \(\mathsf{RCD}^\ast(K,N)\)-space
Quantitative volume space form rigidity under lower Ricci curvature bound. I
Cones over metric measure spaces and the maximal diameter theorem
Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
Ricci curvature for metric-measure spaces via optimal transport
A short proof to the rigidity of volume entropy
Decomposition of geodesics in the Wasserstein space and the globalization problem
On the measure contraction property of metric measure spaces
On the geometry of metric measure spaces. I
On the geometry of metric measure spaces. II
Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
Maximal bottom of spectrum or volume entropy rigidity in Alexandrov geometry
Failure of the local-to-global property for CD(K,N) spaces
Alexandrov meets Lott--Villani--Sturm
On the differential structure of metric measure spaces and applications
Transport inequalities, gradient estimates, entropy and Ricci curvature
The generalized Poincaré conjecture in higher dimensions
On Three-Dimensional Alexandrov Spaces
Riemannian Geometry
Survey on aspherical manifolds
A.D. Alexandrov spaces with curvature bounded below
Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below
Minimal entropy and Mostow's rigidity theorems
Maximal volume entropy rigidity for RCD∗(−(N−1),N) spaces
Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric
Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces
Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound
Classification of the Actions of the Circle on 3-Manifolds

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