Collapsing Geometry with Ricci Curvature Bounded Below and Ricci Flow Smoothing

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Huang, Shaosai, Rong, Xiaochun, Wang, Bing
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211096
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Collapsing Geometry with Ricci Curvature Bounded Below and Ricci Flow Smoothing. Shaosai Huang, Xiaochun Rong and Bing Wang. SIGMA 16 (2020), 123, 25 pages

We survey some recent developments in the study of collapsing Riemannian manifolds with Ricci curvature bounded below, especially the locally bounded Ricci covering geometry and the Ricci flow smoothing techniques. We then prove that if a Calabi-Yau manifold is sufficiently volume collapsed with bou...