February 25, 2024Open Access

On the positivity of the Q-curvatures of the conformal metrics

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Abstract

We mainly show that for a conformal metric g=u^4{n-2m}|dx|² on Rⁿ with n 2m+1, if the higher order Q-curvature Q^ (2m) g is positive and has slow decay near infinity, the lower order Q-curvature Q^ (2) g and Q^ (4) g are both positive if m is at least two.

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Li et al. (Sun,) studied this question.

synapsesocial.com/papers/68e77b35b6db6435876ef92c https://doi.org/https://doi.org/10.48550/arxiv.2402.16277

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