Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Authors: Burtscher, Annegret, Ketterer, Christian, McCann, Robert J., Woolgar, Eric
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211088
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary. Annegret Burtscher, Christian Ketterer, Robert J. McCann and Eric Woolgar. SIGMA 16 (2020), 131, 29 pages

Consider an essentially nonbranching metric measure space with the measure contraction property of Ohta and Sturm, or with a Ricci curvature lower bound in the sense of Lott, Sturm, and Villani. We prove a sharp upper bound on the inscribed radius of any subset whose boundary has a suitably signed l...