On Scalar and Ricci Curvatures

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Besson, Gerard, Gallot, Sylvestre
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211303
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Scalar and Ricci Curvatures. Gerard Besson and Sylvestre Gallot. SIGMA 17 (2021), 046, 42 pages

The purpose of this report is to acknowledge the influence of M. Gromov's vision of geometry on our own works. It is two-fold: in the first part, we aim at describing some results, in dimension 3, around the question: which open 3-manifolds carry a complete Riemannian metric of positive or non-...