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Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds
This paper studies sharp and rigid isoperimetric comparison theorems and asymptotic
isoperimetric properties for small and large volumes on N-dimensional RCD (K, N) spaces …
isoperimetric properties for small and large volumes on N-dimensional RCD (K, N) spaces …
Isoperimetry on manifolds with ricci bounded below: overview of recent results and methods
M Pozzetta - … : Anisotropic Isoperimetric Problems & Related Topics, 2022 - Springer
We review recent results on the study of the isoperimetric problem on Riemannian manifolds
with Ricci lower bounds. We focus on the validity of sharp second order differential …
with Ricci lower bounds. We focus on the validity of sharp second order differential …
Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature
In this paper we consider nonnegatively curved finite dimensional Alexandrov spaces such
that unit balls have volumes uniformly bounded from below away from zero. We study the …
that unit balls have volumes uniformly bounded from below away from zero. We study the …
Second-order estimates for the -Laplacian in RCD spaces
We establish quantitative second-order Sobolev regularity for functions having a $2 $-
integrable $ p $-Laplacian in bounded RCD spaces, with $ p $ in a suitable range. In the …
integrable $ p $-Laplacian in bounded RCD spaces, with $ p $ in a suitable range. In the …
Rigidity of mean convex subsets in non-negatively curved RCD spaces and stability of mean curvature bounds
C Ketterer - Journal of Topology and Analysis, 2023 - World Scientific
We prove splitting theorems for mean convex open subsets in Riemannian curvature-
dimension (RCD) spaces that extend results by Kasue et al. for Riemannian manifolds with …
dimension (RCD) spaces that extend results by Kasue et al. for Riemannian manifolds with …
On the topology of manifolds with nonnegative Ricci curvature and linear volume growth
Understanding the relationships between geometry and topology is a central theme in
Riemannian geometry. We establish two results on the fundamental groups of open …
Riemannian geometry. We establish two results on the fundamental groups of open …
Isoperimetry on Manifolds with Ricci
M Pozzetta - Anisotropic Isoperimetric Problems and Related …, 2024 - books.google.com
We review recent results on the study of the isoperimetric problem on Rie-mannian
manifolds with Ricci lower bounds. We focus on the validity of sharp second order …
manifolds with Ricci lower bounds. We focus on the validity of sharp second order …
Ricci curvature bounded below and uniform rectifiability
arxiv:2311.09907v1 [math.MG] 16 Nov 2023 Page 1 arxiv:2311.09907v1 [math.MG] 16 Nov
2023 RICCI CURVATURE BOUNDED BELOW AND UNIFORM RECTIFIABILITY MATTHEW …
2023 RICCI CURVATURE BOUNDED BELOW AND UNIFORM RECTIFIABILITY MATTHEW …