Deformation of the Weighted Scalar Curvature

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Ho, Pak Tung, Shin, Jinwoo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212044
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Deformation of the Weighted Scalar Curvature. Pak Tung Ho and Jinwoo Shin. SIGMA 19 (2023), 087, 15 pages

Inspired by the work of Fischer-Marsden [Duke Math. J. 42 (1975), 519-547], we study in this paper the deformation of the weighted scalar curvature. By studying the kernel of the formal ²ϕ-adjoint for the linearization of the weighted scalar curvature, we prove several geometric results. In particul...