42 citations · 123 across the 17 of their papers we have counts for
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math.DG2021
On the geometry of irreversible metric-measure spaces: Convergence, Stability and Analytic aspects
Alexandru Kristály, Wei Zhao
The paper is devoted to the study of Gromov-Hausdorff convergence and stability of irreversible metric-measure spaces, both in the compact and noncompact cases. While the compact s…
math.DG2020★ 2 cited
Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature
Zoltán M. Balogh, Alexandru Kristály
By using optimal mass transport theory we prove a sharp isoperimetric inequality in metric measure spaces assuming an asymptotic volume growth at infinity. Our res…
math.DG2016★ 6 cited
Metric projections versus non-positive curvature
Alexandru Kristály, Dušan Repovš
In this paper two metric properties on geodesic length spaces are introduced by means of the metric projection, studying their validity on Alexandrov and Busemann NPC spaces. In pa…