Notes on the uniqueness of Type II Yamabe metrics

Shota Hamanaka; Pak Tung Ho

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arXiv · 2506.17876

Notes on the uniqueness of Type II Yamabe metrics

Shota Hamanaka·Pak Tung Ho

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Abstract

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.

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Shota Hamanaka, Pak Tung Ho. 2025-06-22. Notes on the uniqueness of Type II Yamabe metrics. https://arxiv.org/abs/2506.17876

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