The Measure Preserving Isometry Groups of Metric Measure Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Guo, Yifan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211006
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Measure Preserving Isometry Groups of Metric Measure Spaces. Yifan Guo. SIGMA 16 (2020), 114, 14 pages

Bochner's theorem says that if is a compact Riemannian manifold with negative Ricci curvature, then the isometry group Iso( ) is finite. In this article, we show that if ( , , ) is a compact metric measure space with synthetic negative Ricci curvature in Sturm's sense, then the measure...