Some results on the weighted Yamabe problem with or without boundary

Autor:	Ho, Pak Tung, Shin, Jinwoo, Yan, Zetian
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	Let $(M^n,g,e^{-\phi}dV_g,e^{-\phi}dA_g,m)$ be a compact smooth metric measure space with boundary with $n\geqslant 3$. In this article, we consider several Yamabe-type problems on a compact smooth metric measure space with or without boundary: uniqueness problem on the weighted Yamabe problem with boundary, characterization of the weighted Yamabe solitons with boundary and the existence of positive minimizers in the weighted Escobar quotient.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.13892 Zobrazit plný text záznamu View this record from Arxiv