Bach Flow on Homogeneous Products

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Helliwell, Dylan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210583
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bach Flow on Homogeneous Products. Dylan Helliwell. SIGMA 16 (2020), 027, 35 pages

The qualitative behavior of Bach flow is established on compact four-dimensional locally homogeneous product manifolds. This is achieved by lifting to the homogeneous universal cover and, in most cases, capitalizing on the resultant group structure. The resulting system of ordinary differential equa...