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Notes on the uniqueness of Type II Yamabe metrics

類別:期刊論文

學年 / 學期:113-2

出版日期:2025-06-20 00:00:00

著者:Shota Hamanaka; Pak Tung Ho

著錄名稱、卷期、頁數:Nonlinear Differential Equations and Applications NoDEA 32, article number 81

摘要:In this paper, we study the uniqueness of type II Yamabe metrics in conformal classes on a compact connected manifold with boundary, and we investigate Obata-type theorems for type II Yamabe metrics. In particular, we establish a theorem which gives a sufficient condition for a metric to be the unique Type II Yamabe metric in its conformal class. We also prove the corresponding theorem for the CR Yamabe problem on closed manifolds.

關鍵字:Yamabe-type metrics; Conformal structures on manifolds; Calculus of variations; Boundary value problems on manifolds

語言:en

ISSN:1420-9004

期刊性質:國外

收錄於:SCI Scopus

審稿制度:

國別:USA

出版型式:電子版