Subgraphs of BV functions on RCD spaces (Q6150250)

scientific article; zbMATH DE number 7813762

Language	Label	Description	Also known as
English	Subgraphs of BV functions on RCD spaces	scientific article; zbMATH DE number 7813762

Statements

instance of

scholarly article

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title

Subgraphs of BV functions on RCD spaces (English)

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Annals of Global Analysis and Geometry

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publication date

6 March 2024

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full work available at URL

https://arxiv.org/abs/2209.00645

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zbMATH Keywords

function of bounded variation

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${\mathrm{RCD}}$ space

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Cartesian surface

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subgraph

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splitting map

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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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CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN 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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Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

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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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Short-time behavior of the heat kernel and Weyl's law on $\mathrm{RCD}^*(K,N)$ spaces

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Q4667206

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Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

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Tensorization of Cheeger energies, the space $H^{1, 1}$ and the area formula for graphs

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Q4441888

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Calculus and fine properties of functions of bounded variation on RCD spaces

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Boundary regularity and stability for spaces with Ricci bounded below

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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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The globalization theorem for the curvature-dimension condition

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Differentiability of Lipschitz functions on metric measure spaces

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Lower bounds on Ricci curvature and the almost rigidity of warped products

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On the structure of spaces with Ricci curvature bounded below. I

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Regularity of Einstein manifolds and the codimension 4 conjecture

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On a conjecture of Cheeger

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Quasi-continuous vector fields on RCD spaces

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Rank-one theorem and subgraphs of BV functions in Carnot groups

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Asymptotic behavior of $BV$ functions and sets of finite perimeter in metric measure spaces

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Q4210546

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

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Ricci tensor on $\mathrm{RCD}^\ast(K,N)$ spaces

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

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Ricci curvature for metric-measure spaces via optimal transport

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An elementary proof of the rank-one theorem for BV functions

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Q5531732

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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 the geometry of metric measure spaces. I

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On the geometry of metric measure spaces. II

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Identifiers

arXiv ID

2209.00645

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DOI

10.1007/s10455-024-09945-0

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6150250