Results 21 to 30 of about 754 (96)
Ideal boundaries of pseudo-Anosov flows and uniform convergence groups with connections and applications to large scale geometry [PDF]
, 2005 Given a general pseudo-Anosov flow in a closed three manifold, the orbit space of the lifted flow to the universal cover is homeomorphic to an open disk. We construct a natural compactification of this orbit space with an ideal circle boundary.
S. Fenley
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A non-geodesic analogue of Reshetnyak’s majorization theorem
Analysis and Geometry in Metric Spaces, 2023 For any real number κ\kappa and any integer n≥4n\ge 4, the Cycln(κ){{\rm{Cycl}}}_{n}\left(\kappa ) condition introduced by Gromov (CAT(κ)-spaces: construction and concentration, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 280 (2001)
Toyoda Tetsu
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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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Filling inequalities do not depend on topology [PDF]
, 2008 Gromov's universal filling inequalities relate the filling radius and the filling volume of a Riemannian manifold to its volume. The main result of the present article is that in dimensions at least three the optimal constants in the filling inequalities
Brunnbauer, 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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A short proof of Gromov's filling inequality
, 2007 We give a very short and rather elementary proof of Gromov's filling volume inequality for n-dimensional Lipschitz cycles (with integer and Z_2-coefficients) in $L^\infty$-spaces.
Wenger, Stefan
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A characterization of the $\hat{A}$-genus as a linear combination of Pontrjagin numbers
, 2015 We show in this short note that if a rational linear combination of Pontrjagin numbers vanishes on all simply-connected $4k$-dimensional closed connected and oriented spin manifolds admitting a Riemannian metric whose Ricci curvature is nonnegative and ...
Li, Ping
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