Positive Intermediate Ricci Curvature on Fibre Bundles

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• ISSN: 1815-0659
• Main Authors: Reiser, Philipp, Wraith, David J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212885
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Positive Intermediate Ricci Curvature on Fibre Bundles. Philipp Reiser and David J. Wraith. SIGMA 21 (2025), 006, 17 pages

We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to establish the existence of metrics with positive intermediate Ricci curvatures on a wide range of examples which had previous...