Fully nonlinear Yamabe-type problems on non-compact manifolds

We obtain existence results for a class of fully nonlinear Yamabe-type problems on non-compact manifolds, addressing both the so-called positive and negative cases. We also give explicit examples of manifolds with warped product ends and asymptotically flat ends satisfying the hypotheses of our theo...

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Hauptverfasser: Duncan, Jonah A. J, Wang, Yi
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Sprache:eng
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Zusammenfassung:We obtain existence results for a class of fully nonlinear Yamabe-type problems on non-compact manifolds, addressing both the so-called positive and negative cases. We also give explicit examples of manifolds with warped product ends and asymptotically flat ends satisfying the hypotheses of our theorems.
DOI:10.48550/arxiv.2401.07808