Results 21 to 30 of about 86 (69)
Concentration of Product Spaces
Analysis and Geometry in Metric Spaces, 2021 We investigate the relation between the concentration and the product of metric measure spaces. We have the natural question whether, for two concentrating sequences of metric measure spaces, the sequence of their product spaces also concentrates.
Kazukawa Daisuke
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On Weak Super Ricci Flow through Neckpinch
Analysis and Geometry in Metric Spaces, 2021 In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions ...
Lakzian Sajjad, Munn Michael
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An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds [PDF]
, 2013 It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature > κ is an Alexandrov’s space of curvature > κ . This theorem provides an optimal lower curvature bound for an older theorem of Buyalo. The purpose of this paper is to
S. Alexander, V. Kapovitch, A. Petrunin
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Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2022 We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces.
Adamowicz Tomasz +2 more
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SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES
Forum of Mathematics, Sigma, 2017 We establish the compactness of the moduli space of noncollapsed Calabi–Yau spaces with mild singularities. Based on this compactness result, we develop a new approach to study the weak compactness of Riemannian manifolds.
XIUXIONG CHEN, BING WANG
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Volume Bounds for the Quantitative Singular Strata of Non Collapsed RCD Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2019 The aim of this note is to generalize to the class of non collapsed RCD(K, N) metric measure spaces the volume bound for the effective singular strata obtained by Cheeger and Naber for non collapsed Ricci limits in [13].
Antonelli Gioacchino +2 more
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Chordal Hausdorff Convergence and Quasihyperbolic Distance
Analysis and Geometry in Metric Spaces, 2020 We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A. +2 more
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An Intrinsic Characterization of Five Points in a CAT(0) Space
Analysis and Geometry in Metric Spaces, 2020 Gromov (2001) and Sturm (2003) proved that any four points in a CAT(0) space satisfy a certain family of inequalities. We call those inequalities the ⊠-inequalities, following the notation used by Gromov.
Toyoda Tetsu
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Degrees of maps and multiscale geometry
Forum of Mathematics, PiWe study the degree of an L-Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if $X_k$ is the connected sum of k copies of $\mathbb CP^2$ for $k \ge 4$ , then we prove ...
Aleksandr Berdnikov +2 more
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Contractibility of boundaries of cocompact convex sets and embeddings of limit sets
Analysis and Geometry in Metric SpacesWe provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
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