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math.DG2025
Notes on the uniqueness of Type II Yamabe metrics
Shota Hamanaka, Pak Tung Ho
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…
math.DG2025
Extremal metrics involving scalar curvature
Shota Hamanaka
We investigate extremal metrics at which various types of rigidity theorems involving scalar curvatures hold. The rigidity we discuss here is related to the rigidity theorems prese…