Results 11 to 20 of about 731 (76)
A note on the almost-Schur lemma on smooth metric measure spaces. [PDF]
J Inequal Appl, 2018 In this paper, we prove almost Schur Lemma on closed smooth metric measure spaces, which implies the results of X.
Chen JT.
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Widths of balls and free boundary minimal submanifolds
Advanced Nonlinear Studies, 2023 We observe that the kk-dimensional width of an nn-ball in a space form is given by the area of an equatorial kk-ball. We also discuss the relationship between widths and lower bounds for the area of a free boundary minimal submanifold in a space form ...
Zhu Jonathan J.
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Remarks on Manifolds with Two-Sided Curvature Bounds
Analysis and Geometry in Metric Spaces, 2021 We discuss folklore statements about distance functions in manifolds with two-sided bounded curvature. The topics include regularity, subsets of positive reach and the cut locus.
Kapovitch Vitali, Lytchak Alexander
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5-Point CAT(0) Spaces after Tetsu Toyoda
Analysis and Geometry in Metric Spaces, 2021 We give another proof of Toyoda’s theorem that describes 5-point subspaces in CAT(0) length spaces.
Lebedeva Nina, Petrunin Anton
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Lipschitz Chain Approximation of Metric Integral Currents
Analysis and Geometry in Metric Spaces, 2022 Every integral current in a locally compact metric space X can be approximated by a Lipschitz chain with respect to the normal mass, provided that Lipschitz maps into X can be extended slightly.
Goldhirsch Tommaso
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A New Transport Distance and Its Associated Ricci Curvature of Hypergraphs
Analysis and Geometry in Metric Spaces, 2022 The coarse Ricci curvature of graphs introduced by Ollivier as well as its modification by Lin–Lu– Yau have been studied from various aspects. In this paper, we propose a new transport distance appropriate for hypergraphs and study a generalization of ...
Akamatsu Tomoya
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Extremal subsets in geodesically complete spaces with curvature bounded above
Analysis and Geometry in Metric Spaces, 2023 We introduce the notion of an extremal subset in a geodesically complete space with curvature bounded above, i.e., a GCBA space. This is an analog of an extremal subset in an Alexandrov space with curvature bounded below introduced by Perelman and ...
Fujioka Tadashi
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Sub-Finsler Horofunction Boundaries of the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2021 We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics, that is, those that arise as asymptotic cones of word metrics, on the Heisenberg group.
Fisher Nate, Golo Sebastiano Nicolussi
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A Zoll counterexample to a geodesic length conjecture [PDF]
, 2007 We construct a counterexample to a conjectured inequality ...
Balacheff, Florent +2 more
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A systolic inequality with remainder in the real projective plane
Open Mathematics, 2020 The first paper in systolic geometry was published by Loewner’s student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary metric in the real projective plane.
Katz Mikhail G., Nowik Tahl
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