Abstract
In this paper, we give a sufficient condition for a positive constant scalar curvature metric on a manifold with boundary to be a relative Yamabe metric, which is a natural relative version of the classical Yamabe metric. We also give examples of non-Einstein relative Yamabe metrics with positive scalar curvature.
Funding Statement
Supported in doctoral program in Chuo University, 2020.
Acknowledgment
I would like to thank my supervisor Kazuo Akutagawa for suggesting the initial direction for this study, his good advice and support. I would also like to thank the referees for pointing out the mistakes in the first draft of this paper.
Citation
Shota Hamanaka. "Non-Einstein relative Yamabe metrics." Kodai Math. J. 44 (2) 265 - 272, June 2021. https://doi.org/10.2996/kmj44202
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