Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces (Q6072121)

scientific article; zbMATH DE number 7771797

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English	Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces	scientific article; zbMATH DE number 7771797

Statements

instance of

scholarly article

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title

Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces (English)

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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

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publication date

29 November 2023

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full work available at URL

https://arxiv.org/abs/2109.12585

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zbMATH Keywords

finite perimeter

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Gauss-Green formulae

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RCD spaces

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MaRDI profile type

MaRDI publication profile

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cites work

Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces

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Fine properties of sets of finite perimeter in doubling metric measure spaces

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Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces

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Equivalent definitions of $BV$ space and of total variation on metric measure spaces

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Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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New stability results for sequences of metric measure spaces with uniform Ricci bounds from below

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Local spectral convergence in $\mathrm{RCD}^\ast(K, N)$ spaces

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Embedding of $\mathrm{RCD}^\ast (K,N)$ spaces in $L^2$ via eigenfunctions

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On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth

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Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces

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The isoperimetric problem on Riemannian manifolds via Gromov–Hausdorff asymptotic analysis

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Isoperimetric sets in spaces with lower bounds on the Ricci curvature

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Pairings between measures and bounded functions and compensated compactness

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Boundary regularity and stability for spaces with Ricci bounded below

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Rectifiability of RCD(K,N) spaces via δ-splitting maps

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Rectifiability of the reduced boundary for sets of finite perimeter over $\operatorname{RCD} ( K , N )$ spaces

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Constancy of the Dimension for RCD(<i>K</i>,<i>N</i>) Spaces via Regularity of Lagrangian Flows

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On BV functions and essentially bounded divergence-measure fields in metric spaces

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Nonlinear potential theory on metric spaces

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New formulas for the Laplacian of distance functions and applications

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Differentiability of Lipschitz functions on metric measure spaces

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Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below

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Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws

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Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

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On locally essentially bounded divergence measure fields and sets of locally finite perimeter

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Quasi-continuous vector fields on RCD spaces

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Su una teoria generale della misura $(r-1)$-dimensionale in uno spazio ad $r$ dimensioni

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Nuovi teoremi relativi alle misure $(r - 1)$-dimensionali in uno spazio ad $r$ dimensioni

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Non-additive measure and integral

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On a conjecture of Cheeger

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On the differential structure of metric measure spaces and applications

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Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below

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Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

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Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces

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Behaviour of the reference measure on $\mathsf{RCD}$ spaces under charts

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Lipschitz continuity of solutions of Poisson equations in metric measure spaces

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On the volume measure of non-smooth spaces with Ricci curvature bounded below

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Lebesgue points for Sobolev functions on metric spaces.

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Nonlinear potential theory of metric spaces

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A sufficient condition to a regular set being of positive measure on spaces

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Sets of Finite Perimeter and Geometric Variational Problems

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Functions of bounded variation on ``good'' metric spaces

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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On master test plans for the space of BV functions

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Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in $\text{RCD}(K, \infty)$ metric measure spaces

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Lipschitz algebras and derivations. II: Exterior differentiation

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Identifiers

arXiv ID

2109.12585

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DOI

10.2422/2036-2145.202110_007

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6072121