出版日期：2023-11-04 00:00:00

著者：Pak Tung Ho, Jinwoo Shin

著錄名稱、卷期、頁數：Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 19,　087

摘要：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 L2ϕ -adjoint for the linearization of the weighted scalar curvature, we prove several geometric results. In particular, we define a weighted vacuum static space, and study locally conformally flat weighted vacuum static spaces. We then prove some stability results of the weighted scalar curvature on flat spaces. Finally, we consider the prescribed weighted scalar curvature problem on closed smooth metric measure spaces.

關鍵字：weighted scalar curvature;smooth metric measure space;vacuum static space

語言：en

ISSN：1815-0659

期刊性質：國外

收錄於：SCI Scopus

通訊作者：Pak Tung Ho

審稿制度：是

國別：UZB

出版型式：電子版